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Trim the leeks, discarding the green ends, and split down the center leaving the root intact. Wash well to remove any dirt and slice finely, discarding the root.
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Warm the oil over low heat in a large frying pan and add the leeks. Cook, stirring constantly, for 5 minutes or until the leeks are soft and slightly browned. Let them cool.
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Preheat the broiler.
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Mix the cooled leeks, cheese, scallions, parsley, and salt and pepper to taste together.
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Cut the bagels in half the traditional way and toast lightly on the bottom.
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Spread the cheese mixture over the tops of each bagel and place under the broiler until golden brown.
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It says in the last step that you can eat these bagels away from home too, if you have access to a toaster at work. But you can also eat this topping at room temperature so long as it was transported in an airtight container.