When I came out of a site without logging out, next time i browse that site I found I am logged in there? How that server restore the session value for my browser? Is there
Depending on whether the server checks the IP address trying to use the token (probably a cookie, but doesn't have to be) against the one that logged in, it might be possible for a thief to use that cookie to gain access to your account.
A well-designed site will not only cause sessions to time-out but also restrict them to a single IP address (and browser user-agent, etc).