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If the ball is near the sideline and above the FT line, there's probably not much going on in the paint that needs close scrutiny -- the L can sneak a peek at the sideline to se if the offense steps on it.
If the ball is being passed around and there is action in the paint, the L still needs to be aware of the ball so the L can position himself (or herself) properly. The L's peripheral vision will let min / her blow the whistle if the ball gets thrown / tipped out of bounds and the L can ask for help.
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