Pegylated Liposomal Doxorubicin Hydrochloride, Carboplatin, Veliparib, and Bevacizumab in Treating Patients With Recurrent Ovarian Cancer, Primary Peritoneal Cancer, or Fallopian Tube Cancer

Inclusion Criteria: * Patients must have histologic diagnosis of epithelial ovarian, fallopian tube, or primary peritoneal carcinoma which is now recurrent; histologic documentation of the original primary tumor is required via the pathology report * Patients with the following histologic epithelial cell types are eligible: high-grade serous adenocarcinoma, endometrioid adenocarcinoma, undifferentiated carcinoma, clear cell adenocarcinoma, mixed epithelial carcinoma or adenocarcinoma not otherwise specified (N.O.S.) * Patients must have recurrence documented by elevated cancer antigen (CA)-125 (biochemical recurrence) or clinically evident measurable or non-measurable recurrent disease * Biochemical recurrence is defined as a CA-125 greater than or equal to two times the upper normal limit; patients whose CA-125 is less than 100 U/mL must undergo a second confirmatory value within a period of not more than 4 weeks; patients with a level greater than or equal to 100 U/mL may be entered without confirmatory measurement; the CA-125 assessment for eligibility must be done at least 4 weeks after paracentesis or other surgical procedures * Detectable (non-measurable) disease is defined as symptomatic ascites or pleural effusions, solid and/or cystic abnormalities on radiographic imaging that do not meet Response Evaluation Criteria in Solid Tumors (RECIST) 1.1 definitions for target lesions and/or biopsy proven recurrence * Measurable disease will be defined by RECIST 1.1; …