Mario Batali uses this simple uncooked jam at his restaurant Babbo. He serves it with oven-roasted fish, swirling a small amount of it into very good olive oil.
Using a sharp chef's knife, quarter the lemons, then remove all the seeds.
Place lemons, salt, and sugar into the bowl of a food processor. Puree while food processor is running, and drizzle in olive oil. Process until smooth, about 30 seconds. Stir in oregano and marjoram leaves. Store, refrigerated, in an airtight container up to 5 days.