In a manner that is caressive; with gentle, affectionate, and soothing qualities.
From 'caressive' (adjective) plus the adverbial '-ly' suffix. This creates an adverb form of the less common '-ive' adjective form.
Notice how 'caressively' and 'caressingly' both exist but sound subtly different—'caressingly' feels more immediate and active, while 'caressively' sounds more settled and sustained, showing how English's adverbial suffixes create nuanced variations.
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