Will you test positive for HIV if you already have AIDS? Also, what you have persistent cough and you lost weight while 2 separate HIV tests say Negative, what could be wrong?
Will someone with AIDS test HIV positive? Yes!
I can't diagnose the cause of your cough and weight loss over the Internet. However, if you had a negative HIV test outside the window period, I can advise you with great certainty what is not causing your problem: it's not HIV!