What does 翻訳は私にさせてもらいました。 mean?
Can you translate it as literally as possible? Also, can you provide other examples along those lines?

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Ummm its so hard to translate this since it doesn't make sence. 
I guess it could be changed into "私が翻訳しました。" and then it means "I translated it."

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Yeah but if you change 私に into 私が in that sentence, It's gunna make sense and means that I translated it. Or the one who translated it is me.