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Family name Koziej (Koziej ) , across the world, is a rare surname. The last name Koziej is characteristic of Poland, where it is quite a rare surname, Estonia, where it is a rare surname, and Canada, where it is a very rare surname. Measured by absolute frequency, the name is most common in Poland, the United States, and Canada. More prevalently, Koziej is the forename as well as the last name.