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En passant has only one use case. It occurs when an enemy pawn advances two spaces on its first move that places it adjacent to your pawn, instead of diagonally in front (in a position in which it can be captured). En passant allows you to capture the enemy pawn anyway.

My chess notation is a little rusty, and if you're asking about en passant you probably can't read it anyway, so I'll try to draw some diagrams:

1. This is a basic chessboard, more or less (mostly less)

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2. White advances pawn to e4

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3. Black advances knight to a6

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4. White advances pawn to e5

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5. Black advances pawn to d5.

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6. This is where the en passant move begins. White moves pawn diagonally to d6.

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7. White removes black pawn from d5

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