Answer: Baby tears can be controlled by using a broad-leaf weed killer (such as 2,4-D). Keeping the plant from invading your lawn should be as easy as cutting a trench between the lawn and the groundcover. Using a spade, cut straight down and in a line between the lawn and the planting bed. You might want to repeat this process 2-3 times during the growing season.
Best wishes with your landscape!
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