Charged For Transaction That Never Happened

Somebody "bought" some items I was selling on eBay, but the transaction was flagged for review. I talked to eBay and PayPal and they told me not to ship the items, so I didn't. It turns out it was a stolen credit card or a fraudulent purchase or something, i don't really know what of course, and the transaction was reversed. However both eBay and PayPal say that I owe them their "fees" for the transaction THAT NEVER ACTUALLY HAPPENED. So I told them to jump in a lake.

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