Do paper accounts automatically close after a specified period of dormancy?

Yes, a paper account will be deactivated after six(6) months of no activity.

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How can I close my paper trading account?
Is it possible to transfer positions into a paper account?
Can I have a paper trading account with an IBKR Lite account?
If I have funds invested in the Insured Bank Deposit Sweep Program and execute a trade that requires capital, are the funds redeemed automatically?