Patients known to be positive for HIV (the human immunodeficiency virus) may be eligible, providing they meet the following additional criteria within days prior to registration:\r\n* No history of acquired immune deficiency syndrome (AIDS)-defining conditions\r\n* CD cells > cells/mm^\r\n* If on antiretroviral agents, must not include zidovudine or stavudine\r\n* Viral load =< copies HIV messenger ribonucleic acid (mRNA)/mm^ if on combination antiretroviral therapy (cART) or =< , copies HIV mRNA/mm^ if not on cART\r\n* Highly active antiretroviral therapy (HAART) regimens are acceptable providing they have only weak PA interactions Patients who are known to be human immunodeficiency virus positive (HIV+) are eligible providing they meet all of the following additional criteria within days prior to registration:\r\n* CD+ cells >= /mm^ (nadir)\r\n* Viral load of < copies HIV messenger ribonucleic acid (mRNA)/mm^ if on combination antiretroviral therapy (cART) or < , copies HIV mRNA if not on cART\r\n* No zidovudine or stavudine as part of cART\r\nPatients who are HIV+ and do not meet all of these criteria are not eligible for this study Patients with human immunodeficiency virus (HIV)- may be eligible if they meet the following conditions:\r\n* CD cell count > cells/mm obtained within days prior to study start.\r\n* Plasma HIV- ribonucleic acid (RNA) below detected limit obtained by Food and Drug Administration (FDA)-approved assays for > years on combination anti-retroviral therapy (cART). \r\n* Plasma HIV- RNA level of less than copies/mL obtained by the Abbott m assay or less than copies/mL by Roche Taqman version (v). assay within days prior to study start.\r\n* Plasma HIV- RNA greater than or equal to . copies/mL by single copy assay within days prior to entry.\r\n* Receiving a stable cART regimen containing at least agents (not including ritonavir if less than a mg total daily dose) with no change in the components of antiretroviral therapy for at least days prior to study entry. Human immunodeficiency virus (HIV) infected patients are eligible provided they meet all the other eligibility criteria of the study in addition to the following: \r\n* No history of acquired immune deficiency syndrome (AIDS)-defining conditions other than lymphoma or history of CD+ T-cells below /mm^ prior to beginning combination antiretroviral therapy (cART)\r\n* After HIV diagnosis and during treatment with cART, patients should have maintained CD+ T-cells >= /mm^ prior to lymphoma diagnosis; patients who never immune reconstituted to a stable level above /mm^ are not eligible\r\n* At time of study entry CD+ T-cells must have recovered from prior lymphoma therapy to >= /mm^\r\n* At the time of study entry the HIV viral load must be undetectable by standard laboratory assay \r\n* During prior lymphoma therapy, patients must not have experienced documented infections attributed to the HIV+ status\r\n* No history of non-adherence to cART and willing to adhere to cART while on study\r\n* Antiretroviral drugs with overlapping or similar toxicity profiles as study agents not allowed:\r\n** Efavirenz not allowed\r\n** Stavudine not allowed\r\n** Zidovudine not allowed\r\n* Patients must be willing to be followed at a minimum of approximately every months by physician expert in HIV disease management Known human immunodeficiency virus (HIV) positive (+) patients; EXCEPTION: if they meet the following additional criteria =< days prior to registration:\r\n* CD cells >= /mm^\r\n* Viral load of < copies HIV messenger (m) ribonucleic acid (RNA)/mm^ if on combination antiretroviral therapy (cART) or < , copies HIV mRNA if not on cART\r\n No zidovudine or stavudine as part of cART Patients who are known to be human immunodeficiency virus positive (HIV+) are eligible providing they meet all of the following additional criteria within days prior to registration:\r\n* Cluster of differentiation (CD) cells >= /mm^\r\n* Viral load of < copies HIV messenger ribonucleic acid (mRNA)/mm^ if on combination antiretroviral therapy (cART) or < , copies HIV mRNA if not on cART\r\n* No zidovudine or stavudine as part of cART\r\n* Patients who are HIV+ and do not meet all of these criteria are not eligible for this study On an effective combination cART regimen, generally a -drug regimen based on Department of Health and Human Services (DHHS) treatment guidelines\r\n* Patients must be on cART >= weeks; and\r\n* Evidence of viral suppression defined as HIV viral load < copies/mL; and \r\n* No symptomatic AEs > grade by Common Terminology Criteria for Adverse Events (CTCAE) criteria probably or definitely attributed to cART; and\r\n* No laboratory AEs noted on protocol defined screening laboratories > grade by CTCAE criteria probably or definitely attributed to cART, with exceptions noted below\r\n* Note: if cART is modified during the screening period, patients must be on an effective new regimen for >= weeks and otherwise meet eligibility criteria\r\n* Most patients have viral loads that are suppressible to < copies/mL, but about % of patients will occasionally have blips up to copies/mL, which do not appear to correlate with lack of viral suppression in most studies; thus, an HIV viral load of =< copies/mL for an occasional blip will be allowed, if there is documentation of an HIV viral load < on the same regimen and no significant treatment interruption Patients who are known to be human immunodeficiency virus positive (HIV+) may be eligible providing they meet all of the following additional criteria:\r\n* Patients must have no history of acquired immunodeficiency syndrome (AIDS) defining events\r\n* Cluster of differentiation (CD) cells >= /mm^\r\n* Viral load of < copies HIV messenger ribonucleic acid (mRNA)/mm^ if on combination antiretroviral therapy (cART) or < , copies HIV mRNA if not on cART\r\n* No zidovudine or stavudine as part of cART Patients who are known to be human immunodeficiency virus positive (HIV+) are eligible providing they meet all of the following additional criteria within days prior to registration:\r\n* Cluster of differentiation (CD) cells >= /mm^\r\n* Viral load of < copies HIV messenger ribonucleic acid (mRNA)/mm^ if on combination antiretroviral therapy (cART) or < , copies HIV mRNA if not on cART\r\n* No zidovudine or stavudine as part of cART\r\n* Patients who are HIV+ and do not meet all of these criteria are not eligible for this study Patients who are known to be human immunodeficiency virus (HIV) positive (+) may be eligible providing they meet all of the following additional criteria within days prior to registration:\r\n CD cells >= /mm^\r\n Viral load of < copies HIV messenger ribonucleic acid (mRNA)/mm^ if on combination antiretroviral therapy (cART) or < , copies HIV mRNA if not on cART\r\n No zidovudine or stavudine as part of cART\r\nPatients who are HIV+ and do not meet all of these criteria are not eligible for this study Patients who are known to be human immunodeficiency virus (HIV) positive (+) are eligible providing they meet all of the following additional criteria within days prior to registration:\r\n* Cluster of differentiation (CD) cells >= /mm^\r\n* Viral load < copies of HIV messenger ribonucleic acid (mRNA)/mm^ if on combination antiretroviral therapy (cART) or < , copies of HIV mRNA if not on cART\r\n* No zidovudine or stavudine as part of cART; patients who are HIV+ and do not meet all of these criteria are not eligible for this study Prior to Segment B enrollment, participants on combination anti-retroviral therapy (cART) will be required to have a minimum CD count of >= and participants not on cART will be required to have a minimum CD count of >= to be eligible for the study; participants not currently on cART who have a CD count >= and who agree to start cART immediately will be eligible for participation; laboratory data should be obtained within weeks prior to Segment B enrollment