There are no edited images to be recovered, because Lightroom doesn't change the images at all. When you remove files from the catalog that erases all of the adjustments that were stored in the catalog, and removes the images so that they no longer appear in Lightroom. But they should still be in their original folder on your hard drive. If you can see the DNG files on your external hard drive, can't you just use the import dialog to import them from that location?
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