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Step 2: Understand the Lunar Orbital Mechanics
The moon's phases repeat approximately every 29.5 days, which is known as the synodic month or lunar month. This is different from the moon's actual orbital period around Earth.
Final Answer
Moon phases repeat every 29.5 days due to the complex orbital mechanics of the moon's revolution around Earth and the Earth-Sun system, requiring slightly more than one complete orbit to return to the same apparent position relative to the Sun.
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