Inclusion Criteria:

* Patients must have biopsy proven, newly diagnosed DLBCL with stage II bulky, stage III or stage IV disease, with an International Prognostic Index (IPI) or revised (R)-IPI score greater than 0; a report providing confirmation of CD20 expression must be submitted
* Adequate sections from the original diagnostic specimen must be available for submission for review by the Southwest Oncology Group (SWOG) Lymphoma Pathology Laboratory; an adequate biopsy requires sufficient tissue to establish the architecture and World Health Organization (WHO) histologic subtype with certainty; fine needle aspiration or cytology is not adequate
* Patients must be offered the opportunity to consent to the correlative science studies; patients are encouraged to submit specimens for correlative studies; however, specimen submission is not a requirement for participation in the study
* Patients must have measurable disease; measurable disease must be determined by computed tomography (CT) scan of chest, abdomen and pelvis performed within 28 days prior to registration; positron emission tomography (PET)/CT may be substituted for CT scan only if CT scan is of diagnostic quality and is contrast enhanced
* Patients must have a unilateral bone marrow aspirate and biopsy for staging performed within 42 days prior to registration
* Patients must not have clinical evidence of central nervous system involvement by lymphoma; any laboratory or radiographic tests performed within 42 days prior to registration to assess central nervous system (CNS) involvement must be negative
* Patients must not have received prior chemotherapy, radiation, or antibody therapy for lymphoma; steroid pre-medication for IV contrast allergy is allowed
* Patients must have Zubrod performance status of 0-2
* Patients must have serum lactate dehydrogenase (LDH) measured within 28 days prior to registration
* Absolute neutrophil count (ANC) \> 1,000/mcL within 28 days prior to registration, unless due to bone marrow infiltration by lymphoma
* Platelets \> 100,000/mcL within 28 days prior to registration, unless due to bone marrow infiltration by lymphoma
* Cardiac ejection fraction ≥ institutional lower limit of normal (ILLN) by multigated acquisition (MUGA) scan or 2-dimensional (2-D) echocardiogram (ECHO) with no significant abnormalities within 42 days prior to registration
* Patients must not have received valproic acid (a histone deacetylase \[HDAC\] inhibitor) within 28 days prior to registration
* Patients must have no known hypersensitivity to the components of treatment
* Patients must be willing to discontinue taking any medications that are generally accepted to have a risk of causing Torsades de Pointes while on study
* Patients known to be human immunodeficiency virus (HIV) positive are not eligible; existing therapeutic options are effective and study design does not support assessing the efficacy of treatment on those with HIV
* No other prior malignancy is allowed except for the following: adequately treated basal cell or squamous cell skin cancer, in situ cervical cancer, adequately treated stage I or II cancer from which the patient is currently in complete remission, or any other cancer from which the patient has been disease free for five years
* Patients must not be pregnant or nursing; women/men of reproductive potential must have agreed to use an effective contraceptive method; a woman is considered to be of "reproductive potential" if she has had menses at any time in the preceding 12 consecutive months; in addition to routine contraceptive methods, "effective contraception" also includes heterosexual celibacy and surgery intended to prevent pregnancy (or with a side-effect of pregnancy prevention) defined as a hysterectomy, bilateral oophorectomy or bilateral tubal ligation; however, if at any point a previously celibate patient chooses to become heterosexually active during the time period for use of contraceptive measures outlined in the protocol, he/she is responsible for beginning contraceptive measures
* All patients must be informed of the investigational nature of this study and must sign and give written informed consent in accordance with institutional and federal guidelines
* At the time of patient registration, the treating institution's name and identification (ID) number must be provided to the Data Operations Center in Seattle in order to ensure that the current (within 365 days) date of institutional review board approval for this study has been entered into the data base