In a medium-sized pot add the olive oil, the onion, the leek, and the carrot and cook at medium/high temperature until the vegetables are soft, about 5 minutes. Add the split peas, the pepper, the thyme, the smoked paprika, the cumin, the cloves, and the bay leaf and cook for 3-4 minutes.
Add the 2 cups of water, the sugar, and the parsley and bring to a boil. Reduce heat to low, cover the pot and simmer for about 50 minutes or until split peas are very soft and tender, almost mushy. Check the pot from time to time and if necessary add enough water to almost cover the peas.
Serve the fava on a large plate, sprinkle with thyme or savory, some capers, olives, lots of olive oil and freshly squeezed lemon juice. Eat!