Answer: Moss growth in turfgrass is a symptom of several underlying problems, all of which you've tried to improve; too much shade, poor soil fertility, poor drainage, and soil compaction. The only thing you haven't addressed is soil pH. Moss thrives in acidic soils, and raising the pH may be the only other step you need to take to eliminate the moss. Have your soil tested. Lime will sweeten the soil, but the amount (and frequency) you'll need to apply will depend upon the results of your soil test.
Don't give up! Continue with the TLC and you'll eventually have a lush, green lawn.
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