Preheat oven to 350°. Grate zest from 1 lime to equal 1/2 tsp. Squeeze juice from limes to equal 6 Tbsp. Gently combine zest, lime juice, crabmeat, and cilantro.
Bake buns at 350° for 7 minutes or until toasted.
Spoon crabmeat mixture into buns; sprinkle with mango and avocado. Serve immediately.
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