01 - Combine sugar, 1 cup water, and mint leaves in a small saucepan. Bring to a simmer over medium heat, stirring constantly until sugar completely dissolves. Remove from heat and let steep for 10 minutes to infuse mint flavor.
02 - Pour the mint syrup through a fine mesh strainer into a large bowl, pressing firmly on the leaves to extract maximum flavor. Discard the spent mint solids.
03 - Add the remaining 1 cup cold water, lemon juice, cranberry juice, lemon zest, and salt to the strained syrup. Whisk thoroughly until all ingredients are fully incorporated and salt is dissolved.
04 - Transfer the mixture to a shallow metal pan or freezer-safe container. Place in the freezer and freeze for 1 hour until edges begin to solidify.
05 - Remove the container from the freezer. Using a fork, scrape the frozen edges toward the center, breaking up any ice crystals. Return to the freezer immediately.
06 - Continue scraping the mixture every 30-45 minutes for 3-4 hours total. The sorbet is ready when it achieves a light, fluffy, and uniform texture throughout.
07 - Scoop the sorbet into chilled bowls or glasses. Garnish with fresh mint leaves and lemon slices if desired. Serve immediately for optimal texture.