How/when does an unpaid item case close with Ebay

I opened an unpaid item case on 4/30 for 4 cards that were not paid for within a week or so. Still have never received a single email from buyer. Does case automatically close in my favor after a certain time, or do i need to do something else? thanks, Tom
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The buyer has 4 days from the time you opened the case to pay.
If the buyer doesn't pay within 4 days, you can close the case and an unpaid item may be recorded on the buyer's account. If the buyer has contacted you and you've agreed to extend the payment deadline, you can wait up to 36 days after the listing ended to close the case.
Closing the case
Timeline: As soon as 4 days and up to 36 days after the listing ended.
If the buyer pays using one of eBay's approved electronic payment methods (PayPal, credit card, ProPay, Moneybookers, or Paymate), the case closes automatically. But if they use another method, you need to go to your My eBay and mark the item as paid.
If the buyer doesn't pay, you should close the case in the Resolution Center and request a final value fee credit. If you don't close the case, it expires on the 37th day after the listing has ended and you don't get a final value fee credit. You also won't be able to reopen the case or open another case for the transaction.
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Put the NPB on your Blocked Bidder List.