What does deeply involve oneself NYT mean in the article?

I came across the phrase deeply involve oneself NYT in a recent article and I’m not clear on its meaning. Can someone explain the context and how it applies in that situation? Any clarification or examples would be really helpful!
 
Deeply involve oneself refers to giving oneself wholly in terms of time, energy, and concentration of attention to an activity or cause, becoming then emotionally or intellectually engaged in it.
 
The expression is normally used when one means to immerse himself/herself or engross in something immensely meaning a strong emotional, mental, or active involvement.
 
According to the article, the phrase "deeply involve oneself" is used to describe the act of becoming figuratively engrossed in something, dedicating a considerable amount of time, attention, and/or emotional energy to it instead of just being casually involved.
 
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