Known additional malignancy that progressed or required active treatment within the last years. Exceptions include basal cell carcinoma of the skin, squamous cell cancer (SqCC) of the skin that has undergone potentially curative therapy, or in situ cervical cancer. Exceptions include basal cell carcinoma of the skin, squamous cell carcinoma of the skin that has undergone potentially curative therapy or in situ cervical cancer. History of another primary malignancy that has not been in remission for at least years; exceptions include:\r\n* Basal cell carcinoma of the skin or \r\n* Squamous cell carcinoma of the skin that has undergone potentially curative therapy or\r\n* In situ cervical cancer SAFETY RUN-IN: Known additional malignancy that progressed and/or required treatment in the last years; except that for basal and squamous cell carcinoma of the skin or in situ cervical carcinoma that has completed potentially curative therapy RANDOMIZED PHASE II CLINICAL TRIAL: Known additional malignancy that progressed and/or required treatment in the last years; except that for basal and squamous cell carcinoma of the skin or in situ cervical carcinoma that has completed potentially curative therapy Patients with a history of a second malignancy diagnosed within three () years of study enrollment excluding basal cell carcinoma of the skin, squamous cell carcinoma of the skin, or in situ cervical cancer that has undergone potentially curative therapy. Has a known additional malignancy that is progressing or requires active treatment. Exceptions include early stage cancers (carcinoma in situ or stage ) treated with curative intent, basal cell carcinoma of the skin, squamous cell carcinoma of the skin, in situ cervical cancer, or in situ breast cancer that has undergone potentially curative therapy Has a known additional malignancy that is progressing or has required active treatment within the past years with the exception of basal cell and squamous cell carcinoma of the skin, transitional cell carcinoma of urothelial cancer, or carcinoma in situ (eg, breast carcinoma, cervical cancer in situ) that have undergone potentially curative therapy Any concurrent malignancies; exceptions include- basal cell carcinoma of the skin, squamous cell carcinoma of the skin, superficial bladder cancer or in situ cervical cancer that has undergone potentially curative therapy; patients with a history of other prior malignancy must have been treated with curative intent and must have remained disease-free for years post-diagnosis Known additional malignancy that is progressing or requires active treatment with the exception of basal cell carcinoma of the skin, squamous cell carcinoma of the skin or carcinoma in situ (eg, breast carcinoma, cervical carcinoma in situ) with potentially curative therapy, or in situ cervical cancer Has a known additional malignancy that is progressing or requires active treatment; exceptions include early stage cancers (carcinoma in situ or stage ) treated with curative intent, basal cell carcinoma of the skin, squamous cell carcinoma of the skin, in situ cervical cancer, or in situ breast cancer that has undergone potentially curative therapy Has a known additional malignancy that is progressing or has required active treatment within the past years. * Note: Participants with basal cell carcinoma of the skin, squamous cell carcinoma of the skin, or carcinoma in situ (e.g. breast carcinoma, cervical cancer in situ) that have undergone potentially curative therapy are not excluded History of a second malignancy (diagnosed in the last years). Exceptions include basal cell carcinoma of the skin, squamous cell carcinoma of the skin, or in situ cervical cancer that has undergone potentially curative therapy. GENERAL: Prior invasive malignancy (except non-melanomatous skin cancer) unless disease free for a minimum of years.\r\n* Exceptions include basal cell or squamous cell carcinoma of the skin, or in situ cervical cancer that has undergone potentially curative therapy. Has a known additional malignancy that is progressing or required active treatment ? years ago. Exceptions include early-stage cancers (carcinoma in situ or Stage ) treated with curative intent, basal cell carcinoma of the skin, squamous cell carcinoma of the skin, in situ cervical cancer, in situ prostate cancer, or in situ breast cancer that has undergone potentially curative therapy. Any concurrent malignancies- exceptions include- basal cell carcinoma of the skin, squamous cell carcinoma of the skin, superficial bladder cancer or in situ cervical cancer that has undergone potentially curative therapy; patients with a history of other prior malignancy must have been treated with curative intent and must have remained disease-free for years post-diagnosis Any concurrent malignancies- exceptions include- basal cell carcinoma of the skin, squamous cell carcinoma of the skin, superficial bladder cancer or in situ cervical cancer that has undergone potentially curative therapy; patients with a history of other prior malignancy must have been treated with curative intent and must have remained disease-free for years post-diagnosis Known secondary malignancy that has progressed within the last years or requires active treatment; exceptions include basal cell carcinoma of the skin or squamous cell carcinoma of the skin that has undergone potentially curative therapy or in situ cervical cancer Has history of another malignancy within the past years; exceptions include basal cell carcinoma of the skin or squamous cell carcinoma of the skin that has undergone potentially curative therapy or in situ cervical cancer Has history of another malignancy within the past years; exceptions include:\r\n* basal cell carcinoma of the skin or squamous cell carcinoma of the skin that has undergone potentially curative therapy\r\n* in situ cervical cancer Has an active second malignancy, i.e. patient known to have potentially fatal cancer present for which he/she may be (but not necessarily) currently receiving treatment; patients with a history of malignancy that has been completely treated, with no evidence of that cancer currently, are permitted to enroll in the trial if curative therapy has been completed, such as basal cell carcinoma of the skin or squamous cell carcinoma of the skin that has undergone potentially curative therapy or in situ cervical cancer Has known additional malignancy that progressed or required treatment within last years; exceptions include basal cell carcinoma of the skin or squamous cell carcinoma of the skin that has undergone potentially curative therapy or in situ cervical cancer that has been adequately treated Has a known additional malignancy that is progressing and/or requires active treatment. Exceptions include basal cell carcinoma of the skin or squamous cell carcinoma of the skin that has undergone potentially curative therapy, previous ductal carcinoma in situ (DCIS), or breast cancer diagnosed more than years ago, as long as adequately treated or in situ, or early (up to stage B) cervical cancer, or vulval intraepithelial neoplasia (VIN), or vulval cancer adequately treated without pelvic radiation therapy (RT) Has a known additional malignancy that is progressing or requires active treatment; exceptions include basal cell carcinoma of the skin or squamous cell carcinoma of the skin that has undergone potentially curative therapy or in situ cervical cancer, carcinoma in situ or superficial bladder cancer, low-grade prostate cancer, intraductal papillary mucinous neoplasm (IPMN), and other low grade cancers that is suitable for active surveillance in the opinion of the investigator History of other primary malignancy requiring systemic treatment within months of protocol enrollment; patients must not be receiving chemotherapy or immunotherapy for another cancer; patients must not have another active malignancy requiring active treatment with the following acceptable EXCEPTIONS:\r\n* Basal cell carcinoma, squamous cell carcinoma, or melanoma of the skin that has undergone or will undergo potentially curative therapy\r\n* In situ cervical cancer that has undergone or will undergo potentially curative therapy History of another malignancy in the previous years, with a disease-free interval of < years; exceptions include basal cell carcinoma of the skin, squamous cell carcinoma of the skin, or in situ cervical cancer that has undergone potentially curative therapy Has a known history of prior malignancy with the exception of basal cell carcinoma of the skin, superficial bladder cancer, squamous cell carcinoma of the skin, or in situ cervical cancer, and has undergone potentially curative therapy and has no evidence of recurrence over the last year since completion of curative therapy. Has a known additional malignancy that progressed or required treatment within the last five years; exceptions include basal cell carcinoma of the skin or squamous cell carcinoma of the skin that has undergone potentially curative therapy or in situ cervical cancer Has a known malignancy (other than breast cancer) except basal cell carcinoma or squamous cell carcinoma of the skin, or in situ cervical cancer that has undergone potentially curative therapy Known additional malignancy that is progressing or has required active treatment within the past years. (Note: Participants with basal cell carcinoma of the skin, squamous cell carcinoma of the skin, superficial bladder cancer, or carcinoma in situ (e.g. breast carcinoma, cervical cancer in situ) that have undergone potentially curative therapy are not excluded.) Any concurrent malignancies- exceptions include- basal cell carcinoma of the skin, squamous cell carcinoma of the skin, superficial bladder cancer or in situ cervical cancer that has undergone potentially curative therapy; patients with a history of other prior malignancy must have been treated with curative intent and must have remained disease-free for years post-diagnosis Has a known additional malignancy that is progressing or has required active treatment within the past years; Note: participants with basal cell carcinoma of the skin, squamous cell carcinoma of the skin, superficial bladder cancer or any carcinoma in situ (e.g. breast carcinoma, cervical cancer in situ) that have undergone potentially curative therapy are not excluded Has been free of additional malignancy for at least years; exceptions include basal cell carcinoma of the skin, squamous cell carcinoma of the skin, or in situ cervical cancer that has undergone potentially curative therapy Exceptions include basal cell carcinoma of the skin, squamous cell carcinoma of the skin that has undergone potentially curative therapy or in situ cervical cancer. Patient has a known additional malignancy that progressed or required active treatment within the last years. Exceptions include basal cell carcinoma of the skin, squamous cell carcinoma of the skin that has undergone potentially curative therapy, or in situ cervical cancer Has a known additional malignancy that has had progression or has required active treatment in the last years.Note: Basal cell carcinoma of the skin, squamous cell carcinoma of the skin, or carcinoma in situ, such as breast cancer in situ, that has undergone potentially curative therapy are acceptable. Known history of prior malignancy except if participant has undergone potentially curative therapy with no evidence of that disease recurrence for years since initiation of that therapy, except for successful definitive resection of basal cell carcinoma of the skin, superficial bladder cancer, squamous cell carcinoma of the skin, in situ cervical cancer, or other in situ cancers. Has a known additional malignancy that has progressed or has required active treatment in the last years. Note: Basal cell carcinoma of the skin, squamous cell carcinoma of the skin, superficial bladder cancer, or carcinoma in situ such as breast cancer in situ are acceptable if they have undergone potentially curative therapy. Has a known additional malignancy that progressed or required active treatment within the last years. Exceptions include basal cell carcinoma of the skin, squamous cell carcinoma of the skin that has undergone potentially curative therapy or in situ cervical cancer. No history of prior malignancy, with the exception of basal cell carcinoma of the skin, superficial bladder cancer, squamous cell carcinoma of the skin, or in situ cervical cancer, or has undergone potentially curative therapy with no evidence of that disease recurrence for years since initiation of that therapy Known additional malignancy that is progressing or requires active treatment with the exception of early stage cancers (carcinoma in situ or Stage ) treated with curative intent, basal cell carcinoma of the skin, squamous cell carcinoma of the skin, or in situ cervical cancer or in situ breast cancer that has undergone potentially curative therapy Known history of prior malignancy, with the exception of basal cell carcinoma of the skin, superficial bladder cancer, squamous cell carcinoma of the skin, or in situ cervical cancer, and has undergone potentially curative therapy with no evidence of that disease recurrence for years since initiation of that therapy Has history of malignancy within the prior years; exceptions include basal cell carcinoma of the skin or squamous cell carcinoma of the skin that has undergone potentially curative therapy Has a known additional malignancy that is progressing or requires active treatment; in addition, patients cannot have been diagnosed with another malignancy within years of starting treatment; exceptions include fully resected basal cell carcinoma of the skin or squamous cell carcinoma of the skin, in situ cervical cancer, fully resected ductal carcinoma in situ, and stage IA, noninvasive grade I endometrial cancer, that has undergone curative therapy Has a known additional malignancy that progressed or required treatment in the last years; exceptions include basal cell carcinoma of the skin or squamous cell carcinoma of the skin that has undergone potentially curative therapy or in situ cervical cancer Has a known additional malignancy that has progressed or required active treatment within the last years with the exception of curatively treated basal cell carcinoma of the skin, squamous cell carcinoma of the skin that has undergone potentially curative therapy, in-situ cervical cancer, and in-situ or intra-mucosal pharyngeal cancer History of another malignancy in the previous years, with a disease-free interval of < years; exceptions include basal cell carcinoma of the skin, squamous cell carcinoma of the skin, or in situ cervical cancer that has undergone potentially curative therapy Has a known additional malignancy that is progressing or requires active treatment. Exceptions include early-stage cancers (carcinoma in situ or Stage ) treated with curative intent, basal cell carcinoma of the skin, squamous cell carcinoma of the skin, in situ cervical cancer, in situ breast cancer that has undergone potentially curative therapy, and in situ or intramucosal pharyngeal cancer Has a known additional malignancy that is progressing or requires active treatment. Exceptions include early stage cancers (carcinoma in situ or Stage ) treated with curative intent, basal cell carcinoma of the skin, squamous cell carcinoma of the skin, in situ cervical cancer, or in situ breast cancer that has undergone potentially curative therapy. Has a known additional malignancy that has progressed or required active treatment in the past years; exceptions include basal cell carcinoma of the skin or squamous cell carcinoma of the skin that has undergone potentially curative therapy or in situ cervical cancer Has a known additional malignancy that is active and/or progressive requiring treatment within years of first dose of mirvetuximab soravtansine (other than NAC prescribed for the current case of TNBC); exceptions include basal cell or squamous cell skin cancer that has undergone potentially curative therapy, in situ cervical or bladder cancer Has a known additional malignancy that is progressing or has required active treatment within the past years. Note: Participants with basal cell carcinoma of the skin, squamous cell carcinoma of the skin, or carcinoma in situ that have undergone potentially curative therapy are not excluded. Has a known additional malignancy that progressed or required active treatment within the last years. Exceptions include basal cell carcinoma of the skin, squamous cell carcinoma of the skin that has undergone potentially curative therapy, and in situ cervical cancer.