[ubuntu] Imaging with dd

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http://ubuntuforums.org – If I Image a drive with the likes of dd (or anything else if someone can recommend something) will that image include the data of deleted files etc. The sort of thing that one would look to recover with testdisk recovery software? I want to image a disk as I want to do a fresh install on it. But I want to at a later point in time also recover anything I can that was ever on that drive. My reasons for this are complicated and involve complex family matters. So want copy not just the current data but all pre-existing data. If so are specific parameters that need to be used? (Hardware)