Safety Study of ABT-263 in Combination With Rituximab in Lymphoid Cancers

Inclusion Criteria: * Diagnosed with a CD20-positive lymphoproliferative disorder (Revised European American Lymphoma \[REAL\]/World Health Organization \[WHO\]) and bi-dimensionally measurable disease with at least 1 lesion \>= 1.0 cm * Eastern Cooperative Oncology Group (ECOG) performance score of \<= 1 * Adequate bone marrow function, independent of growth factor support (with the exception of participants with bone marrow that is heavily infiltrated with underlying disease \[80% or more\] who may use growth factor to achieve Absolute Neutrophil count (ANC) eligibility criteria) per local laboratory reference range as follows: Absolute Neutrophil count (ANC) \>= 1000/μL; Platelets \>= 100,000/mm3 (untransfused); Hemoglobin \>= 9.0 g/dL. * Participants who have a history of autologous stem cell transplant (e.g., bone marrow) must be \> 6 months post transplant and have adequate bone marrow function, independent of any growth stimulating factors (with the exception of participants with bone marrow that is heavily infiltrated with underlying disease \[80% or more\] who may use growth factor to achieve ANC eligibility criteria) per local laboratory reference range as follows: Absolute Neutrophil count (ANC) \>= 1500/μL; Platelets \>= 125,000/mm3 (untransfused); Hemoglobin \>= 10.0 g/dL. * Participant must have adequate renal, hepatic and coagulation function per local laboratory reference range as follows: Serum creatinine \<= 2.0 mg/dL or calculated creatinine clearance \>= …