申し訳ないけど

I'm sorry, but

→ 申し訳ない
phrase Rare #41,265
I'm sorry, but A polite apology used before refusing, making a request, or saying something inconvenient. けど softens what follows and means “but.”
JA: 申し訳ないけど、今日はもう帰らないと。
EN: I'm sorry, but I have to go home now.

申し訳ないけど長居できないんですよ

I'm sorry, but I can't stay long.

申し訳ないけどホント無理なんだ

I'm sorry, but I really can't.

申し訳ないけど残業してもらいたいんだ

I'm sorry, but I'd like you to work overtime.

申し訳ないけど帰ります

I'm sorry, but I'm going to head home now.