I’m sorry she’s full of shit. Keyless cars won’t let you drive without the key in the car, so no way they’d have managed to continue their journey of the key wasn’t there. Also did they just leave their car at the security gate for 2 days and take all their stuff out? Because once you stop it isn't moving again…
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And just to pick holes in her tale even more, you can’t just buy spare keys for keyless cars, they need to go into the garage to be reprogrammed. So the car would have to have been recovered and taken to a local garage for it to be sorted