This randomized phase III trial is studying gemcitabine hydrochloride, cisplatin, and bevacizumab to see how well they work compared with gemcitabine hydrochloride, cisplatin, and placebo in treating patients with advanced urinary tract cancer. Drugs used in chemotherapy, such as gemcitabine hydrochloride and cisplatin, work in different ways to stop the growth of tumor cells, either by killing the cells or by stopping them from dividing. Monoclonal antibodies, such as bevacizumab, can block tumor growth in different ways. Some block the ability of tumor cells to grow and spread. Others find tumor cells and help kill them or carry tumor-killing substances to them. It is not yet known whether gemcitabine hydrochloride and cisplatin are more effective when given together with or without bevacizumab in treating patients with urinary tract cancer.