OBJECTIVES: I. Determine the toxicity and maximum tolerated dose of doxorubicin HCl liposome when administered with combination chemotherapy in patients with AIDS-associated non-Hodgkin's lymphoma. II. Determine the optimal phase II dose of doxorubicin HCl liposome to be administered with the combination chemotherapy regimen. III. Determine the effect of this regimen on HIV viral load in these patients. IV. Determine the clinical response to this regimen by these patients.