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There are not any proven drugs to treat hernia
without surgery.You will have to opt for repair surgery.Please visit your Surgeon and get evaluated to know if you are fit for surgery.
Laproscopic surgery is also available.
Meanwhile , if you have chronic cough
please see that you get treated for that.If you are a smoker , Quit smoking
and see your Chest Physician .
Hope I answered your question.If you need more information feel free to mail me.