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From your description it could be seborrhoeic dermatitis
. It is a rash
seen in oily skin type caused by an yeast. A salicylic acid
2% face wash will help in decreasing oiliness when used 1-2 times a day. An anti fungal cream like miconazole
2% twice a day over the scaly rash will work in decreasing the rash.
Hope this helped