When Eliot Ness delivers Doreen Maney to the Bronx County Jail at the beginning of the third act, the narration gives the date as "July 7, 1933". However, at the conclusion of the episode (after several additional days have passed in the course of the story), the narration gives the date as "June 25, 1933".
When the Doreen's car crashes, one can clearly see that the cars are much more modern vehicles.