It sounds perfectly correct if your income consists of Social Security and a pension from a local school board. Louisiana does not tax Social Security benefits, nor do they tax retirement benefits for school employers (among others retirement benefits exempt from Louisiana tax).
So, if you had no other income reported on your return and you had no Louisiana income tax withheld, then your return would be zero refund and zero balance due. However, if you are required to file a Federal return and you are a Louisiana resident, you are still required to file the Louisiana return.
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