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1
Heat 2 Tbsp. oil in a medium Dutch oven or other heavy pot over medium. Sear ham hocks, turning occasionally, until browned all over, 6-8 minutes. Add chopped onion and garlic. Cook, stirring occasionally, until very soft and beginning to brown around the edges, 8-10 minutes. Add coriander and cumin and cook, stirring, just until fragrant, about 1 minute. Add 6 cups water and bring to a boil. Reduce heat, cover pot, and simmer, stirring occasionally, until hocks begin to soften, about 1 hour.
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2
Add black-eyed peas to pot, cover, and cook, skimming foam from surface, until hocks and black-eyed peas are tender, about 1 1/2 hours. Remove hocks; let cool. Pick meat from bone and shred; discard fat and bones. Return meat to pot.
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3
Meanwhile, preheat oven to 400u00b0F. Toss quartered onion, poblano chiles, and half of serrano chiles and tomatillos on a rimmed baking sheet with remaining 1 Tbsp. oil; season lightly with salt. Roast, tossing occasionally, until lightly browned around the edges but still vibrantly colored, 15-20 minutes. Let cool.
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4
Transfer chile mixture to a blender; add cilantro and remaining serrano chiles and tomatillos and puree until smooth.
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5
Stir puree into bean mixture; season with salt and pepper. Serve chile verde topped with sour cream and chives.
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6
Chile verde can be made 3 days ahead. Cover and chill.