We Must Prove That We Can Change

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After owning up to your mistakes, you must learn to be consistent in your change in behavior. Saying you will change and actually doing it are two very different things. Consistently committing to changing your behavior will help to rebuild the trust that might be lacking in certain relationships, especially when previously, you aren't known to keep true to your word with regard to altering certain unhelpful behavioral tactics.
Check out Ryan's full breakdown of how we can fix broken relationships on the Friday Field Notes: • What To Do To Fix Rela...

[@H00v3r]

Yes...acknowledge your trespass and don't expect anything in return... EXTREME OWNERSHIP...make yourself better for those around you

[@pilotandy_com]

I didn’t yell for an entire year. My now ex didn’t even notice.
Sure, we need to change long term, but as Jordan Peterson points out, you have to watch your partner like a hawk and praise good behavior. I understand the argument that she doesn’t trust you, but her acknowledgement of your specific action day to day doesn’t have anything to do with that. One can acknowledge a good action and still be on guard as well. And of course all this goes both ways.
I feel I should point out the obvious. Gratitude for your spouses seemingly small efforts will accumulate over time into a beautiful life together.