How can I get rust out of this marble piece?

This marble piece is just another “treasure” from my parents’ house that I have had for several years. I actually found it going through some of my stash boxes. Had forgotten I even had it. The piece can hold a bottle of wine but I don’t think that would have caused the rust. I’m thinking it maybe held some kitchen utensils. But not really sure. Any help any of you can give me on removal of the rust would be greatly appreciated.

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