Can paxil (paroxetine) and cymbalta cuase sexual issues?

Yes: Antidepressants in general can cause sexual side effects, which include decreased interest, inability to maintain an erection (in men) or maintain arousal, and/or inability to have an orgasm. All of these effects are mediated by a specific serotonin receptor. Of course, depression itself can lower interest in sex.

Yes: Most notably delayed ejaculation in men & anorgasmia in women.

Yes: Both of these medications can be guilty as charged.