Yes - extended parking is considered 90 days or longer. You would need to call 480-988-7600 and push "0" to speak with Airport Operations. Since your stay is less than 90 days but still longer than typical, you can also call the parking hotline at 480-988-7721 and leave a message with your vehicle information, dates, and contact information.
Yes there is extended parking, I'm just not sure if you can go out past 2 months
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