The word "contemplate" essentially means "to think deeply about something":
We used to engage in recondite discussions, contemplating the mystery of God for hours on end.
It also means "to have something in mind as an intention or possibility":
Mourinho may have contemplated leaving Real Madrid after the humiliating 5:0 loss to Barcelona. He may have even contemplated his retirement from football.
And another common meaning of this term is "to observe, to look at something thoughtfully":
There she stood contemplating herself in the mirror.
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