You use with the exception of to introduce a thing or person that is not included in a general statement that you are making.

双语例句例： Yesterday was a day off for everybody, with the exception of Lorenzo.

昨天每个人休一天假，洛伦佐除外。

例： The trees there are older than any other trees in the world, with the exception of the Californian redwoods.

那里的树比世界上的任何其他树都老，加州红杉除外。