The two statements about the geocentric model that are false are:
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It shows the Sun at the center of the solar system. (The geocentric model places Earth at the center, not the Sun.)
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It explains why Mars appears to move backward for a few months approximately every two years. (While the geocentric model attempted to explain retrograde motion, it did so inaccurately compared to the heliocentric model, which provides a clearer explanation based on relative positions of Earth and Mars.)
Thus, the correct answers are the second and third statements.