Don't make the mistake of just blindly ramping up how often you run, just because you think more is always better. That quickly leads to overtraining and injuries, and then you're out for weeks. 2-3 times a week is honestly already a solid foundation, especially if you're just starting out or getting back into it. That's enough to make progress without destroying your body.
If you feel ready, you can bump it up to 4 times a week - but do it slowly and pay attention to your recovery. The important thing is that you don't train hard every single day; some runners do, for example, 3 moderate sessions and 1 longer run per week. Most people do great with 3-4 times a week and see good results too. You should only move toward 5+ times a week once you've been doing this for a while and know how your body responds.
Pay more attention to how you feel than to any rigid rules. If you notice you're constantly tired or your knees start acting up, you're probably running too often. Enough sleep and decent nutrition are just as important as the actual training days themselves.