[Skin Concern] Insanely dry lips and skin around mouth. I can't wear lipstick anymore. Please help, desperate.

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Here's a picture of what my lips look like.I do have eczema on my hands and a bit on my arms; could it be that? They're not particularly itchy but literally every morning when I wake up, this is what they look like. Or some variation of this. I've tried Vaseline, numerous lip balms and chapsticks, and recently I splurged on the Bite Agave Lip Mask at Sephora. It's really hydrating and helps the skin peel off a little quicker, but the next day there's just more layers of dead skin peeling off.This is such a huge pain in the ass, and as a makeup lover it sucks not being able to wear lipstick. I could really use some help.
Girls Blog 2015
Submitted by fuzzytwinkies