They have fought many battles in the War on the Maths Mafia, including the First Battle of Minas Music and the Second Battle of Minas Music. They are such awesome fighters that no-one in the League dare oppose them.
The Virus has been constantly defeated in battle because it's so pathetic. In fact, The Dazzling Duo have asked for a raise from Shirazzle, and he had to accept because he'd be killed if he dare refused. Despite their aggressive tendencies towards him, the Dazzling Duo are devoted to Shirazzle. In fairness, they would rather die themselves than see him dead. How sweet.
Despite this, Bitch Machine was still able to somehow worm her way between the Duo in an attempt to get to Shirazzle, but her efforts were unsuccessful and she was eventually outcasted. The Duo also took part in the Clique Civil War, in which they (obviously) sided with Shirazzle.