What does it mean when God says, “Vengeance is mine” (Romans 12:19)?

What does it mean when God says, “Vengeance is mine”? What is the meaning of Romans 12:19?

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Romans 12:19 Do not avenge yourselves, beloved, but leave room for God's wrath. For it is written: Vengeance is Mine; I will repay, says the Lord.

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