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病気だと

that someone is sick

→ 病気
phrase Uncommon #11,586
that someone is sick 病気だと introduces a clause meaning “that someone is sick,” often before verbs such as 言う (to say), わかる (to realize), or 思う (to think). The subject is understood from context.
JA: 医者は彼が病気だと考えた。
EN: The doctor thought that he was sick.

あなたが病気だと知っていたら、病院へ見舞いに行っただろう。

If I had known you were sick, I would have visited you in the hospital.

彼は病気だと言ってたけど、嘘だった。

He said he was sick, but he was lying.

彼女がどうして病気だと知りましたか。

How did you know that she was sick?

ロバートが病気だと聞きました。

I heard that Robert is sick.

私はビルのお父さんが病気だと知った。

I found out that Bill's father was sick.

病気だときいたので。

Because I heard you were sick.

彼は病気だと言ってたが、そうではなかった。

He said he was sick, but he wasn't.