Step 1

Season duck legs all over with salt and black pepper.

Step 2

Heat vegetable oil in a large skillet over high heat. Place duck legs, skin-side down, in hot oil and cook until browned, 2 to 5 minutes; turn and cook until browned on the other side, 2 to 4 minutes more. Transfer legs to a plate; pour rendered duck fat into a bowl.

Step 3

Pour water into the skillet and bring to a boil while scraping the browned bits of food off of the bottom of the pan with a wooden spoon. Remove from heat.

Step 4

Heat about 2 tablespoons duck fat and olive oil in Dutch oven medium heat. Cook and stir onion in hot oil and fat until golden brown, 7 to 10 minutes. Add turmeric, cinnamon, nutmeg; cook and stir until fragrant, 1 minute.

Step 5

Pour chicken broth, pomegranate molasses, honey, and reserved water mixture from the skillet into onions; bring to a simmer.

Step 6

Grind walnuts to a fine powder in a food processor.

Step 7

Cook and stir walnuts in a skillet over medium heat until fragrant, 2 to 3 minutes. Stir walnuts into broth mixture; place duck legs in broth to cover in broth. Reduce heat and simmer until duck legs are tender, 3 to 4 hours. Transfer duck to a serving dish.

Step 8

Bring broth mixture to a boil; cook until reduced and desired sauce consistency is reached. Season with salt. Ladle sauce over duck legs.