Is it safe to take hydroxyzine pamoate (vistaril), naproxen (aleve) and bupropion (wellbutrin) at the same time? are there short term and long term effects?

In the short term a combination of Hydroxyzine and Naproxen and wellbutrin will not result in any significant side effects. However you need to be careful if you intend ti use it for prolonged periods then there is an additive effect between Hydroxyzine and Wellbutrin. Both medication have sedative effect and result in sleep. That's when its combined use needs to carefully evaluated.