I remember that earlier when we just switched off the browser we were logged out automatically. Now-a-days that is not the case. Often it happens that I visited another website after caedes and clicked off the browser and find later that I am still logged in. Are we shown as "active" even though we may not be online?
You are not listed as active if you have not visited a page in the past 5 minutes, so it doesn't matter whether or not you log out. You will stay logged in as long as you don't click "logout" or as long as your browser keeps the cookie that we use to identify you. If your browser deletes the cookie when you close the browser, then you are essentially logged off at that time.