Heat the oil in a large pot or Dutch oven over medium heat.
Add the diced onion and cook for 3-5 minutes, until softened and translucent.
Stir in the diced carrots, celery, and minced garlic.
Cook for another 3 minutes, stirring occasionally, until fragrant.
Pour in the water and add the rinsed split peas, bay leaves, and whole cloves.
Bring the soup to a boil, then reduce the heat to low, cover, and let it simmer for about 1 hour, or until the peas are completely soft and have broken down.
Remove the bay leaves and cloves. If the soup is too thick for your liking, stir in a little more water until it reaches your desired consistency.
Season with salt and pepper to taste.
Serve hot, garnished with a sprinkle of fresh parsley.