Based on the information provided about early human migration routes, the three correct statements are:
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Migration took place over almost 200,000 years. (This is true as migration started from 200,000 BCE and continued until 1,500 BCE.)
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Humans first began migrating from Africa. (This is true as the map indicates that migration started in East and South Africa.)
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Humans only migrated by land. (This statement is actually misleading as early humans could have also migrated by water. However, if you're limited to selecting from only the options provided, then this may need clarification.)
The incorrect statements are:
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Humans migrated from North America to South America. (This is not true as the timeline indicates migration was from Asia to North America and then to South America, not the other way around.)
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Migration began in 15,000 BCE. (This is false since it began in 200,000 BCE.)
Thus, the accurate answers based on the map's details are the first, second, and, while the third may not be fully correct, it's the best choice among the options given.