01 - In a large heavy-bottomed pot, combine chopped apples, lemon juice, apple cider, and water. Bring to a simmer over medium heat and cook for about 10 minutes, stirring occasionally, until apples are tender.
02 - Using a potato masher or immersion blender, lightly mash the softened apples, ensuring some small chunks remain for texture.
03 - Add granulated sugar, brown sugar, ground cinnamon, nutmeg, allspice, and salt to the pot. Stir until sugars are fully dissolved.
04 - Stir in the unsalted butter. Continue cooking over medium heat, stirring frequently, for 20 to 25 minutes until the mixture thickens and develops a golden caramel color. Stir gently and scrape the bottom to prevent scorching.
05 - Increase heat and bring mixture to a boil. Add liquid pectin and boil vigorously for 1 to 2 minutes, stirring constantly. Remove from heat once fully incorporated.
06 - Skim off any foam if present. Ladle the hot jam into sterilized jars, leaving 1/4-inch headspace. Wipe jar rims, apply lids, and process jars in a boiling water bath for 10 minutes, adjusting time for altitude if necessary.
07 - Allow the jars to cool completely. Store in a cool, dark environment. Keep refrigerated after opening.