Will weight training and aerobic exercise contribute to inflammation and joint pain with sle or will increased strength help?

It depends: If the lupus is under good control, the exercise will only help. If you joint pain and swelling is still a problem the stress to the joints may increase the pain..

Strike a balance: Arthritis, especially inflammatory type (like lupus or rheumatoid) responds well to moderate exercise. You have to find the right amount for your body. I encourage you to do weights and aerobic exercise but i urge you to get help with it at first. See a physical therapist or sports med trainer and explain your situation. You don't want an injury and you don't want to over do it at first.