The ink flowed like a river.
Meaning: This means that the ink moved smoothly and easily from the pen onto the paper, creating a steady stream of words.
Choice of Words: Flowed means to move smoothly and continuously. River is a large body of water that flows from a high place to a lower place. When you put them together, "Flowed like a river" is a phrase that means to move smoothly and continuously, like a river.
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