Heat olive oil in a medium saucepan over medium heat.
Add onion and garlic and cook until tender, 6 to 8 minutes.
Add ginger, turmeric, cinnamon, cardamom, and cloves and cook until fragrant, about 1 minute.
Add carrots, apple, squash, and 3 cups water and 1 cup of cream.
Bring to a boil; cover partially and reduce to a simmer. Season with salt and pepper.
Cook until vegetables are tender, about 20 minutes. Let cool slightly.
Working in batches, puree until smooth in blender, Adjust seasoning as necessary.
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