How does Newton's Universal Law of Gravitation explain Kepler's laws?. Physics & Astronomy

Universal gravitation implies that the planets further from the Sun will move more slowly than the planets closer to the Sun (Kepler's third law).
Universal gravitation implies that when a planet is closer to the Sun in its orbit, it will move faster than when it is farther from the Sun (Kepler's second law).
Universal gravitation implies that the orbits of the planets must be elliptical (Kepler's first law).
Both C and D are correct
Universal gravitation implies that the planets will sweep out equal areas in equal times (Kepler's second law).

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