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, mash the apples lightly, leaving some small chunks for texture.
03 - Add granulated sugar, brown sugar, cinnamon, nutmeg, allspice, and salt. Stir until sugars are fully dissolved.
04 - Stir in butter. Continue to cook over medium heat, stirring often and scraping the bottom, until the mixture thickens and develops a golden caramel hue, about 20 to 25 minutes.
05 - Raise the heat to bring the mixture to a boil. Add liquid pectin, stir thoroughly, and boil hard for 1 to 2 minutes. Remove the pot from heat.
06 - Skim off any foam if present. Ladle the hot jam into sterilized jars, allowing a 1/4-inch headspace. Wipe the rims, apply lids, and process jars in a boiling water bath for 10 minutes. Adjust time as needed for elevation.
07 - Allow jars to cool undisturbed at room temperature. Store in a cool, dark area and refrigerate after opening.