In a way that is very detailed, complex, and carefully worked out with great attention to detail.
From 'elaborate' + '-ly' adverbial suffix. The root 'elaborate' comes from Latin 'elaborare' (to work out), so the adverb form applies this idea to how an action is performed.
When something is done 'elaborately,' it means someone spent serious time and thought on it—medieval illuminated manuscripts with their tiny gold leaf details are the perfect example of elaborately crafted art.
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