Step 1

Heat 3 tablespoons olive oil in a medium (11-inch) pot or Dutch oven, such as Le Creuset, over medium-high heat. Add the pork and saute for 5 to 10 minutes, until lightly browned on all sides. Transfer the pork and any liquid to a bowl and set aside. Heat 2 tablespoons oil in the pot, add the onions, and saute over medium heat for 5 minutes, stirring occasionally. Add the poblano and bell peppers and cook for 5 minutes, stirring occasionally. Add the garlic, chili powder, and oregano and cook for one minute. Return the pork and its juices to the pot.

Step 2

Add the chicken stock and salsa verde and bring to a simmer. Stir in the hominy, black beans, corn chips, 1 tablespoon salt, and 1 1/2 teaspoons black pepper and simmer, partially covered, for 30 minutes, stirring occasionally. Add 1 teaspoon salt, depending on the saltiness of the chicken stock and the chips.

Step 3

To serve, ladle the posole into large soup bowls. Garnish with a squeeze of lime and top with avocado, scallions, radishes, tortilla chips, Cheddar, and sour cream. Serve hot.