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Combine the carrots, celery, cabbage, ginger, lentils, crushed tomatoes, and vegetable broth in a large pot.
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Bring to a boil, then reduce heat to low.
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Cover and simmer for 20 minutes, until the lentils are completely soft.
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Stir in the coconut milk, if desired, and heat through.
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Finish with a squeeze of fresh lime juice and serve warm.