To evaluate the short-term effects of administering zidovudine ( AZT ) at the same time with increasing doses of aldesleukin ( interleukin-2; IL-2 ) in patients with persistent generalized lymphadenopathy syndrome ( PGL ). The effects to be studied include safety or toxicity, how quickly the drugs are used in the body, effects on the immune system, effects on HIV, concentrations in body fluids, and how quickly the drugs are cleared by the kidneys. The trial will establish the maximum tolerated dose ( MTD ) and will be a pilot study to determine the dose that has the greatest effect in the immune system.