We are not able to see what is reported on Schedule K-1 (1065) for Arkansas or any other state.
If you do not acquire the state income tax returns, you will not know whether or not you have a filing requirement or owe taxes or are due a refund from any one of those states.
You will certainly want to file a state income tax return if there are pass-through credits or other state credits reported on the state Schedule K-1.
These states may or may not contact you at a later time if they believe that you were required to file their state tax return.
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