A more complicated half question
Jim and Joe are half-brothers.
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Jim has a daughter, Sue, and Joe has a son, Bob.
Sue and Bob are half-cousins.
Jim has a daughter, Sarah, by his first wife.
Sarah and Sue are half-sisters.
Sarah and Bob are completely unrelated, though if Sarah, Sue, and Bob all grew up together they'd probably just call each other cousins.
Did I get all that right?