Psalm 37:1–2 opens with a specific instruction for those watching unjust people prosper: "Fret not thyself because of evildoers." The Hebrew charah — "fret" — means to burn, to be inflamed with anger that consumes. The Psalm does not say the anger is wrong. It says the inflamed, consuming variety destroys the person it lives in. The instruction that follows is to "trust in the LORD" — batach, the Hebrew word for leaning your full weight on something. The alternative to consuming anger over workplace injustice is not passive acceptance but the active transfer of weight onto God as the ultimate judge.
Romans 12:19 removes the obligation to take personal revenge: "Vengeance is mine; I will repay, saith the Lord." This is not an instruction to be passive in the face of injustice — Paul also wrote that the governing authorities are God's servants for the punishment of wrongdoers (Romans 13:4). But the personal consumption of rage and the need to personally balance the scales is taken off the victim's shoulders. God is the judge. He sees. He repays.
Commentary is from a charismatic Protestant perspective, drawing on KJV text and public-domain sources including Spurgeon, Andrew Murray, and Matthew Henry.