Phase 1: Making the Simple Syrup
1. Combine 2 cups of granulated sugar and 2 cups of water in a medium saucepan.
2. Place the saucepan over medium heat.
3. Stir continuously until the sugar is completely dissolved and the mixture is clear.
4. Bring the syrup mixture to a gentle simmer, then immediately remove it from the heat.
5. Allow the simple syrup to cool completely to room temperature.

Phase 2: Juicing the Lemons
1. Wash the lemons thoroughly.
2. Roll each lemon firmly on the countertop.
3. Cut the lemons in half crosswise.
4. Extract at least 2 cups of fresh juice using a citrus juicer or reamer.
5. Strain the lemon juice through a fine-mesh sieve to remove pulp and seeds.

Phase 3: Combining and Serving
1. In a large pitcher, combine the cooled simple syrup and the strained lemon juice.
2. Add the 2 cups of cold water and stir well.
3. Taste and adjust sweetness or tartness by adding a little more water, lemon juice, or a touch more simple syrup if needed (though this is usually not necessary).
4. To serve, fill glasses with ice cubes.
5. Pour the lemonade over the ice.
6. Garnish with optional lemon slices.