When you register your email address at LogMeIn.com, you create a LogMeIn account.
Your email and password together make up your LogMeIn ID, which you use to to log in at LogMeIn.com and join.me. Your LogMeIn ID is not valid for LogMeIn Rescue.
To use certain services, you will be required to purchase a subscription. A subscription can expire. An account does not expire.