金持ちだが

rich but

→ 金持ち
phrase Rare #22,355
rich but だが means “but” or “although” and connects contrasting ideas. 金持ち means “rich” or “wealthy.”
JA: 彼女は金持ちだが、質素な生活をしている。
EN: She is rich, but she lives a modest lifestyle.

彼は金持ちだが兄は貧乏だ

He is rich, but his older brother is poor.

彼女は金持ちだが彼は貧乏だ

She is rich, but he is poor.

金持ちだが貧しい暮らしをしている

He is rich, but he lives a poor lifestyle.

トム金持ちだが幸せではない

Tom is rich, but he isn't happy.