To (engross). To be seriously devoted to something, willing to spend a lot of time with/doing something.
1) He was engrossed in his book. He would not take his eyes off of it.
2) "She's completely engrossed in that movie! There's nothing I can do to get her away from it!"
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To devote oneself fully to.
Consume all of one's attention or time.
Her interest in books engrosses her completely.