In a way that captures complete attention; in a manner that is deeply interesting or engaging.
From absorb + -ing (present participle) + -ly (adverb-forming suffix). The suffix -ly comes from Old English -lice, meaning 'like' or 'in the manner of.'
The word 'absorbingly' captures why certain books, games, or conversations make you lose track of time—your attention becomes completely absorbed, almost as if your mind is literally soaking them in.
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