01 - Place apples, granulated sugar, brown sugar, and apple cider or water into a large, heavy-bottomed pot and stir until evenly mixed.
02 - Heat over medium, stirring occasionally, until apples are tender and starting to break down, about 20 to 30 minutes.
03 - Remove from heat and blend using an immersion blender or standard blender in batches until completely smooth.
04 - Return the purée to the pot, then stir in cinnamon, cloves, allspice, nutmeg, salt, and lemon juice until fully incorporated.
05 - Simmer uncovered on low heat, stirring frequently to prevent sticking, until thick and deep brown, about 1 hour and 30 minutes.
06 - Taste and modify spice levels or sweetness as desired to achieve balanced flavor.
07 - Allow to cool slightly before transferring to sterilized jars; refrigerate for up to 3 weeks or process in a water bath for extended preservation.