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The salt in the ocean was carried there by rivers, a little at a time, dissolved out of rock.

Earth Science Facts, sourced to NOAA.

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What it means

Rain is slightly acid, it dissolves a trace of mineral from every rock it runs over, and rivers deliver that to the sea. The water then evaporates and the salt does not, so it accumulates. Undersea vents add more. The reason rivers taste fresh is not that they carry nothing but that they are a one way trip: the ocean is the end of the line, and it has been collecting for billions of years.

The claim comes from NOAA.

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