Can I leave the airport and stay in a hotel during a layover?

Hello, I'm curious about something regarding airport layovers. I'm wondering if it's possible to leave the airport during a layover and stay in a nearby hotel? I'm not familiar with the policies and procedures surrounding this, so I'm hoping you can shed some light on the matter. Specifically, are there any restrictions or regulations I should be aware of? Additionally, are there any recommendations you have for selecting a hotel that's convenient and affordable during a layover? Thank you for your time and assistance.