01 - Combine chopped apples, lemon juice, apple cider, and water in a large heavy-bottomed pot. Bring to a simmer over medium heat and cook for 10 minutes, stirring occasionally, until apples are tender.
02 - Slightly mash the apples using a potato masher or immersion blender, leaving some small chunks for texture.
03 - Add granulated sugar, brown sugar, ground cinnamon, ground nutmeg, allspice, and salt. Stir thoroughly until sugars dissolve.
04 - Stir in the butter. Cook on medium, stirring frequently and scraping the bottom, until the mixture thickens and develops a golden caramel hue, about 20 to 25 minutes.
05 - Increase heat and bring the mixture to a vigorous boil. Add liquid pectin and stir continuously. Boil hard for 1 to 2 minutes, then remove from heat.
06 - Skim off any foam if present. Carefully ladle hot jam into sterilized jars, maintaining 1/4-inch headspace. Wipe rims, apply lids, and process in a boiling water bath for 10 minutes, adjusting for altitude if required.
07 - Allow jars to cool fully undisturbed. Store in a cool, dark location. Refrigerate after opening.