The "old man" is a metaphor that refers to the person before he believes in Jesus. Paul describes our old sinful person as dying on the cross with Jesus when we believe in Jesus. You can translate this in an active form. AT: "our sinful person died on the cross with Jesus" (See: [[rc://en/ta/man/translate/figs-metaphor]] and [[rc://en/ta/man/translate/figs-activepassive]])
Paul compares the power sin has over a person to a master who controls a slave. A person without the Holy Spirit is not free to do what pleases God. You can translate this in an active form. AT: "we should no longer choose to do what is sinful" (See: [[rc://en/ta/man/translate/figs-metaphor]] and [[rc://en/ta/man/translate/figs-activepassive]])
Here "righteous" refers to God's ability to make people right with him. You can translate this in an active form. AT: "When God declares a person right with him, that person is no longer controlled by sin" (See: [[rc://en/ta/man/translate/figs-explicit]] and [[rc://en/ta/man/translate/figs-activepassive]])