01 - Heat olive oil in a large soup pot over medium heat. Add onion, carrots, and celery, and sauté for 5–7 minutes until softened and fragrant.
02 - Stir in the minced garlic and cook for 1 minute until fragrant, being careful not to burn it.
03 - Add rinsed split peas, smoked turkey pieces, bay leaves, thyme, black pepper, and smoked paprika. Pour in the chicken broth or water and stir well to combine all ingredients.
04 - Bring the mixture to a boil, then reduce heat to low. Cover and simmer for 1 hour, stirring occasionally to prevent sticking and ensure even cooking.
05 - Remove the turkey pieces from the pot. Shred the meat from the bones, discarding skin, bones, and cartilage. Return the shredded meat to the soup.
06 - Continue simmering uncovered for 20–30 minutes, or until split peas are completely soft and soup reaches desired consistency. Add additional water if soup becomes too thick.
07 - Season with salt to taste. Remove and discard bay leaves before serving hot.