It simply means "edited out of love".

yes, It does mean with editing in deep affectionateness.

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Yeah it literally means affectionate editing. Here 애정 means affection and 편집 means editing. 우러나오는 is a kind of poetic expression. If you look up a dictionary it will say it means “from”. But it has more poetic imaginary in itself. 우러나오다 (verb version of 우러나오는) is actually used when we put a teabag in water and the tea powder is dissolved well in water.