A broken sewer pipe can be a way in
Hillsborough County's page on sewer smoke testing says the smoke will not drive rodents out. It can, though, help find broken building sewers where there is a potential for rodents to enter. The county adds that it cannot fix problems on private property; it can help owners find the source so they know what action to take.
So a break on your side of the line is not one the county will fix. If you rent, tell the landlord. If a plumber finds a broken pipe and you have also seen droppings or gnawing, have the rodent work and the pipe repair planned together.