Translation:I do not run from September until November.
To me, the English sentence "I don't run from September to November." means that my running period is different from the period from September to November, but it doesn't specify how. Maybe I start in July, maybe I end in January, maybe I run all year, maybe whatever. But "I don't run between September and November." is much more precise; it means that my running period is at most from December to August (although possibly not all of that).
What exactly does the Portuguese mean?