Sample #1: I am interested in doing the sport, and in losing weight.
Sample #2: I am interested in doing the sport and in losing weight. (comma deleted before and)
Question: Is placing in before losing is correct in two phrases above?
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There is nothing wrong with your sentences as they currently stand. The comma is unnecessary but does not make the sentence incorrect.
In general, you will lose weight by participating in the sport of your choice. In particular you will lose the weight which you have gained through years of inactivity.