Wash, peel, core, and chop the apples into small pieces.
In a large pot, combine the chopped apples, granulated sugar, brown sugar, cinnamon, nutmeg, cloves, salt, apple vinegar, and lemon juice.
Mix well to ensure that the apples are evenly coated with the sugar and spices.
Place the pot over medium heat and bring the mixture to a simmer.
Reduce the heat to low and let it simmer uncovered, stirring occasionally, for about 1-2 hours or until the apples are very soft and broken down.
Once the apples are soft, use an immersion blender to puree the mixture until smooth, or transfer to a blender in batches and blend until smooth.
If using a blender, return the pureed mixture to the pot after blending.
Stir in the butter fused EVOO and continue to simmer the apple butter on low heat, stirring frequently, for another 1-2 hours or until it has thickened to your liking.
Taste the apple butter and adjust the sweetness or spices if needed, according to your preference.
Once the apple butter has reached the desired consistency, remove it from the heat and let it cool completely.
Transfer the apple butter to clean, airtight jars and store in the refrigerator for up to two weeks or can it according to proper canning procedures for longer shelf life.