RATIONALE: Herpesvirus is found in the cancer cells of patients with primary effusion lymphoma. Antiviral drugs, such as zidovudine and valganciclovir, may be able to act against the herpesvirus in the cancer cells to help kill the cancer cells. Bortezomib may help the antiviral drugs kill the cancer cells. Draining the effusion removes fluid that has built up. Monoclonal antibodies, such as bevacizumab, can block cancer growth in different ways. Some block the ability of cancer cells to grow and spread. Others find cancer cells and help kill them or carry cancer-killing substances to them. Bevacizumab may also stop the growth of cancer cells by blocking blood flow to the cancer. Drugs used in chemotherapy, such as cyclophosphamide, doxorubicin, and etoposide, work in different ways to stop the growth of cancer cells, either by killing the cells or by stopping them from dividing. Giving bortezomib together with antiviral therapy followed by effusion drainage, bevacizumab, and combination chemotherapy may kill more cancer cells.