What option is available on a Host A record to tell the system how long the record should remain in the database after it was created or last updated?

Time to live.

Explanation:

The Time to Live is used for the purpose of the expiration table in the rows dynamically. The Time to live is represented in the time limit to stay in the database the Time to live It is no longer possible to fetch the data that has passed its closing timeout value also it is not displayed in the store metrics.

The Time to live is available on the host in the log informing the system how long the record will stay in the database after it has been generated or last modified.