Yes, That's the meaning of phone verified accounts.
But sometimes if you post an ad from the different country or different IP address and if they suspect then they will ask you to reverify the phone number which you linked to the account. That is a problem with purchased accounts on craigslist. Buyer try to use the same city IP address to avoid these issues.
Different city doesn't matter as long as you use clean ips'. But if you use a different country on US craigslist accounts then it's obvious to get your accounts in trouble. I have many buyers using my accounts smoothly and they never asked for city.
