는데 하다

..., but; given that

There is no special idiom here — this is the very common connector 는데, which lays down background before the main point and often carries a mild 'but', with 하다 simply following it. 자주는 안 나가는데 하려고 노력해요 'I don't go often, but I try to', 4개월밖에 안 지났는데 할 얘기가 있어? 'it's only been four months, what is there to talk about?' All eight lines work this way, so learn 는데 itself rather than the pair.