You can see the name of the infected file, location, name of the infection adn the action taken in Avast’s log file.

If what you are experiencing is normal or not, can’t be answered with the info you provided. It could be you are already infected again, did not remove the infection properly etc.

Is your system security setup corectly?
Is your system up-to-date with all security patches/updates?
Do you use a firewall?