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You could make a smart folder that only shows unread messages, and make that your usual view if truly having them out of sight is what you want. Or, have one folder for everything that has been processed, and just move all of the day's messages in there in one batch after reading. That's only going to be a few ciicks instead of dragging each message. As I recall, the links still work if you move the messages around, but I would test that hypothesis in your setup before relying on it....