01 - In a large pot or Dutch oven, heat a splash of oil over medium heat. Add onion, carrots, and celery. Sauté for 5 minutes until softened.
02 - Stir in garlic, thyme, black pepper, and smoked paprika (if using). Cook for 1 minute until fragrant.
03 - Add the rinsed split peas, smoked turkey leg, bay leaf, and broth. Stir to combine.
04 - Bring to a boil, then reduce heat to low. Cover and simmer for 1 hour, stirring occasionally.
05 - Remove the lid and continue to simmer for another 30 minutes, or until the peas are tender and the soup is thickened.
06 - Remove the turkey leg. Discard bay leaf. Shred the meat from the bone, discarding skin and bone, then return the meat to the pot.
07 - Taste and adjust seasoning with salt if needed. For a smoother texture, partially blend the soup with an immersion blender.
08 - Serve hot, garnished with fresh parsley or croutons if desired.