The story was something of a police procedural series, demonstrating that Jack Webb was following a post-war trend when he debuted Dragnet two years later. The crimes described on the show were often violent but, perhaps fortunately, weren't usually dramatized, instead preferring to tell its stories through the eyes of the police.
At the close of each episode, the announcer would declare "Justice did triumph!" as something of an answer to the show's title. Maybe there were episodes where the announcer stated, "Justice did not triumph," but that would be unusual for the times.
The Old Time Radio Researchers Library has just 6 episodes of Did Justice Triumph? at this link.

