Is it ELAN or E-Lan?
What os/sp?
What exact version of avast?
Why do you think logging takes place?
Besides that, there is nothing wrong if a application is logging things only on your own system.
Why using FireFox?
Security flaw in FF made it possible to easily find people that where using the TOR network.
That is how the authorities where able to find the people behind Silk Road.