I don't see any movement on the meter.

You can't tell if there's a leak just by looking at the meter. Let's do a simple meter test. First, turn off all the water-using machines in the house, such as the faucet, water purifier, washing machine, and toilet. After making sure that there's no water dripping, turn off the meter. After 15 minutes, open the meter and check if the meter's needle turns, or if it's an electronic meter, if there's a change in the last number.