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Once your contest is published (and has started) you can manage your contest entries by going to Promotions > Contests > Entrants.
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Click the number of entries to open a new tab.
From there you can approve and reject an entrant’s entries, see which contest(s) they entered, entry submission type and date.
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To approve entries for a specific contest go to Contests > All Contests > Hover Over Contest Name > Click on ‘entrant’s or ‘entries’.