Hi,
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Your abnormal bleeding could be due to changes in hormonal levels after taking the pill. Your bleeding should stop in next 2-3 days time.
Discuss with your gynecologist about your symptoms, and get an examination done to make sure that there no other serious causes for the bleeding. If everything is fine, you can continue taking Alesse, and if not, then your doctor/gynecologist will prescribe the right pill for you along with treatment to stop your bleeding.
Take care.