Hello Stata users!

I am trying to running a model with county-level data where the outcome is number of deaths, I have included the log of county population in as the offset term. When I run the marginal effects following the model, does the marginal effect take into account the offset term ie. are the marginal estimates = number of additional deaths for each value of the covariate at the mean value of log of county population? Or is it different?


Here is my model with menbreg deaths_cases age sex insurance offset(log_population) || state:, irr nolog difficult.
Is it possible to run marginal effects that accounts for offset in such a way that we obtain marginal number of deaths per unit population?

Thank you for your help in advance!