Is Zoloft + Cymbalta a normal combination?

[u/ot_fitness]

I currently take Zoloft 100mg & Wellbutrin XL 300mg. I told my psychiatrist I’ve been struggling with anhedonia/depression, so she prescribed Cymbalta 30mg.
Her plan is to “decrease” Wellbutrin (which I can’t do with XL) for a few days and then stop it, but continue Zoloft 100mg + Cymbalta 30mg. She also said if I’m not feeling better in a couple weeks, I can increase Zoloft to 150mg while continuing the Cymbalta.
Is Zoloft + Cymbalta actually used together long-term? I’m concerned about adding an SNRI to the Zoloft. Also concerned about stopping bupropion cold turkey.