2 C. drained and pitted Kalamata olives (packed)
1 C. drained and pitted high-quality green olives (packed)
1 1/3 C. sugar
1 1/3 C. water
1 medium lemon
1 large green apple, peeled, cored and diced
1/3 C. mild honey
Put all the olives in a large saucepan and cover with cold water. Bring to a boil over medium-high heat and boil for one minute. Drain completely. Repeat this process two more times – this should take enough salt out of the olives so that they’re only mildly salty. Set the olives aside and rinse out the saucepan. Add the sugar and 1 1/3 C. water to the saucepan and swirl to combine. Cut a couple of strips of zest from the lemon and drop them in the sugar water. Slice the lemon up very thinly (don’t worry about the seeds), and add the slices to the pan as well. Bring this to a simmer over medium heat and let it cook for about 8-10 minutes, or until it’s reduced to about a C. liquid. Pour this through a strainer into a bowl, pressing on the lemon solids to extract as much liquid as possible. Return the liquid to the pan, adding the diced apple, honey and olives. Bring to a simmer once again and cook, stirring occasionally, just until the apples are soft and everything is very thick – about another 10 to 15 minutes (you can add a bit of water if it seems to be getting too thick). Remove from the heat and let cool slightly. With an immersion blender or a normal blender, process the entire mixture until it is velvety-smooth. It should be quite a jammy consistency already; if it’s runny you can continue to cook it a little bit more, but keep in mind it will thicken as it cools. Transfer to jars and refrigerate.