Well my eBay account got banned for no good reason (they refused to tell me) . If I buy an account, then use it from my home's IP (where it got banned), will the bought account get banned?
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You should be fine. What I did when I bought my first account was I bought a few items on my new ip, got a couple good feedbacks, then put up items for sale.
If you start selling items right away after buying the account you might get flagged.