Hi,
As you said that you don't have leucoderma,and it is just simply dried lips then primary cause for dried lips is allergy.
Try out following methods
1) Use oil based prepartion,use petroleum gel
2) Cover your lips with something when going out
3) Avoid licking your lips
4) Drink a lot of water
5) Try and breathe through your nose
6) Avoid allergens,if you know about them(dust,skin care cosmetics)common allergens
7) You may try ayurvedic treatment also,i have seen some people benefit out of ...
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