I live in the country so there are lots of weeds and creeping charlie is thick.
How Do I Kill Creeping Charlie in My Asparagus?
Certified GKH Gardening Expert
Below is a link to an article that will help you. Since creeping charlie has invaded your vegetable garden, I would recommend applying the non-chemical methods discussed in the article such as the hand-pulling and smothering with newspaper and/or cardboard methods.