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Family name Zaine (Zaine , Зейн , Заин ) , in the world, is quite a rare surname. The last name Zaine is habitual in Morocco, where it is quite a rare surname, Lebanon, and Syria, where it is a rare surname. Measured by absolute frequency, this name is the most popular in Morocco, Algeria, and Brazil. Likewise, Zaine is the forename as well as the last name.