If swollen lymph nodes emerge from an inflammatory process like lupus (autoimmune disease) would ibuprofen an nsaid make then go away?

No. Lymphadenopathy (large nodes) if do to sle, will not go away with nsaids. See your rheumatologist if this persists.
Lupus. We need to treat the clinical manifestation of your lupus. Some cases are mild some are complex. Your doctor needs to work up your "inflamed lymph node".
Monitoring Centers. Lymphatic system absorbs/carries things too big to go into the arteries/veins like bacteria eaten by white cells and digested food. Lymph nodes "taste" the lymph for anything bad like bacteria/viruses/cancers, etc. When it detects a problem, it alerts the immune system and your body reacts. They enlarge in response to the inflammation they create when they react. They shrink when all is well.