다고 올리다

post a claim online

-다고 quotes what the post says and 올리다 is putting it up online. So 지들이 이걸 해냈다고 올린 거예요 is 'they posted claiming they had pulled this off'. In several of these lines the speaker clearly does not accept the claim being posted — 우리는 뭐 수출 그렇게 잘 됐다고 올린게 — so the phrase is often a way of quoting someone's boast at a distance.

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