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Keep applying that cream plus start taking tablet Folic acid twice a day for 10 days, then make it once a day for next two weeks. Cranking around lip corners occur due to deficiency of Multivitamins, Folic acid and winter season can also be a reason. As far as home remedy is concerned, put olive oil on finger and put it around your lips so that soreness is reduced. Do it before sleeping for a week. And above all start drinking water, like 1 litre per day mandatory.