to workout/produce
katergazomai denotes bringing about an outcome or carrying an action through to completion in the cited passages.
The attested use most often presents a cause as bringing about a result, such as affliction producing glory, grief producing repentance or death, and testing producing perseverance. It also describes carrying out a deed, task, or intended result, including evil conduct, preparation, and the commanded working out of salvation.
Senses in use
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Bring about a resulting effect · dominant
In 2 Corinthians 4:17 the present form has light affliction as the source of an eternal weight of glory; in 2 Corinthians 7:10 the APB renders the contrasting outcomes as grief that “produces repentance” and grief that “produces death.” James 1:3 similarly places the testing of faith before perseverance, while Romans 5:3 places pressure before perseverance.
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Carry out a deed or intended task · common
In Philippians 2:12 the plural present form addresses the readers in the clause the APB renders “work out your own salvation.” Romans 7:15, Romans 7:17, and Romans 7:20 place the first-person present form within the speaker's account of doing what is not wanted, while Ephesians 6:13 refers to having done everything before standing.
In the Anselm Project Bible: Across the supplied verses, the APB variously uses “producing,” “produces,” “worked,” “carry it out,” “done,” and “work out.” These renderings reflect whole clauses rather than a word-by-word alignment, so they show the verse contexts without fixing a separate English equivalent in every instance.