I am pretty sure the Nine do not make anybody invisible... the Nazgul are always wearing them and they're not invisible...
The Seven aren't mentioned a lot so I don't know much about them. From what one of them did to Thror and Thrain, I would say that they helped the dwarves get a lot of gold and riches, but they also made whoever had them greedy and always wanting more wealth. They probably didn't make their wearers invisible though.
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I ♣ baby seals.
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