It is a correct translation for these sentences. -다고 or -다는 is used for indirect quotation NOUN + -라고 → VERB + -다고 NOUN + -(이)라는 + NOUN → VERB + -(ㄴ/는/었)다는 + NOUN VERB + -(ㄴ/는/았)다고 + 말하다/하다/쓰다/적다/부르다/etc Some examples) 뭐라고 했어요? = What did you say? 전화 온다고 했어요. = I said that your phone is ringing. 그 사람이 내일 온다고 해요. = He says that he will come tomorrow. 그 사람이 언제 온다고 했어요? = When did he say he would come? 그 사람이 이거 뭐라고 했어요? = What did he say this was? 한국은 겨울에 정말 춥다고 들었어요. = I heard that it’s very cold in winter in Korea. 저도 간다는 메시지를 남겼어요. = I left a message saying that that I would go too. 한국어를 공부한다는 내용이에요. = It’s a story/content that (someone) is studying Korean. 경은 씨가 제주도에 간다는 이야기를 들었어요. = I heard (a story that) someone (was) saying that Gyeong-eun was going to Jeju Island. 지금 간다는 사람이 없어요. = There is no one that says that they will go 화가로 출세할 수 없다고 어른들이 낙심시켰다 Adults discouraged me by saying that I won’t succeed as an artist. 수천 마일 떨어진 곳에 있었다는 사실 the fact that i was in a place thousands of miles apart Also refer to https://www.italki.com/question/318096 https://www.italki.com/question/307738