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Last name Duly (Duly , 杜利 ) , throughout the world, is a rare cognomen. The last name Duly is characteristic of Isle of Man, where it is quite a rare surname, the United Kingdom, where it is a rare surname, and Honduras. Measured by absolute frequency, it is commonest in the United Kingdom, the United States, and Bangladesh. Likewise, Duly is the forename as well as the last name.