How does God justify the ungodly without compromising His justice?

The doctrine of justification is central to the gospel and reveals the incredible mystery of how God can remain just while justifying sinners. Romans 3:26 explains that God is both just and the justifier of the one who has faith in Jesus. This is made possible because Jesus took upon Himself the sins of the elect, fully satisfying divine justice. Thus, God can declare guilty sinners not guilty, as their sins were punished in Christ. This extraordinary act demonstrates God's righteousness and His power to save without violating His character as a just judge, encapsulating the essence of sovereign grace.