What does it mean when a girl eventually looks more at you?

Do shy girls do this?

I'm in a train were there's this girl that's close to me in the opposite side (were I can see her face to face). Every once in a while, she seems to be looking at me more (as in, the more our eyes would meet, the more determined to look at me with ease). Eventually, she started to look at me while I wasn't looking. She was quiet the entire time.

What does it mean when a girl eventually looks more at you?
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