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In a food processor, chop onion, garlic, green pepper, and carrot.
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Heat a large pot on medium, add olive oil and heat.
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Add vegetables mixture from the food processor and cook for 5 minutes, stirring often, not to let the onions or garlic burn.
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Add beans, broth, and sweet potatoes, stirring to combine.
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Add in cajun seasoning.
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Cover and reduce heat to low. Cook for 45 minutes.
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Serve immediately.