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If a non-Christian prays to God, how does the one and only God, not hear that prayer?

I do not believe there really is any way of knowing what God hears...it's just in our faith.

The sacrifice of the wicked is an abomination to the LORD,
But the prayer of the upright is His delight.
Proverbs 15:8
One who turns away his ear from hearing the law,
Even his prayer is an abomination.
Proverbs 28:9
"Most assuredly, I say to you,
whatever you ask the Father in My name
He will give you.
Until now you have asked nothing in My name.
Ask, and you will receive, that your joy may be full."
~Jesus, The Word of God
John 16:23-24