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The new moon sets when the Sun does, somewhere near (depending on the season) 6 PM. (Earlier in the winter, later in the summer, and this doesn't count Daylight Savings Time where applicable.) The Moon "moves backwards" about 12 degrees per day, rising and setting about 45 minutes later each day. So a 3-day old Moon, 3 days past the new, will set about 8:30 PM, VERY roughly, and depending on the declination of the Moon at that point.

If you want an accurate answer, the U.S. Naval Observatory's Sunrise/Sunset calculator can provide precise-to-the-minute computations, requiring only the date and your location.

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