The three correct statements about Newton's theory of universal gravitation are:
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The theory applies to all objects in the universe.
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Gravitational force increases as the distance between objects decreases.
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Gravitational force increases as the mass of objects increases.
The other statements are incorrect. Specifically, gravitational force does not increase with distance; in fact, it decreases as distance increases. Additionally, gravitational force does not increase as the mass of objects decreases; it increases with mass.