In which ep does Kate and James get put in the cages?

They are both put in the cages in 3x01 "A Tale of Two Cities" and they stay there until 3x06 "I Do" when they escape.

Kate's first experience as a prisoner at the Others' base was awakening to find a bandage on her arm from an apparent blood sample. Tom then told her to shower. She was then made to wear a sundress, and was taken to eat breakfast with Ben, during which she demanded to know where Sawyer and Jack were being held(Ben taking note of the fact that she named Sawyer first), then she was told that the اگلے two weeks were going to be very unpleasant.All that happened in the first episode of the third season of the show,in "A Tale Of Two Cities". Kate then was imprisoned in a large animal cage, across from a similar cage holding Sawyer.