There is a time for learning and there is a time for davening. Learning during Chazaras Hashatz is a no-no as you should be paying attention to answer amen. However, if you finished your Shmone Ezre and the Shatz hasn’t started Chazaras Hashatz, then you could learn. I am not sure, if you can actually pronounce the words with your lips (as opposed to just looking into a Sefer) but in any case, make sure you do it quietly so you don’t disturb those who are still davening.
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