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When you buy leeks buy the best quality fresh ones.
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Cut the leeks in to two. Divide stem and leeks from the middle.
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Cut the roots and throw it away.
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Peel off 1 0r 2 outer leaves.
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After cut the stem and top in middle to two.
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It will look like this and you can see the middle. Some times there is a harder flower stem in it. Remove that too .
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Look how it is. Dirty and muddy. Wash under running water until you remove the mud and the sand. After you can cut in to chunks for cooking.