Hi vchury,
Add-ons that export the history for Chrome exist, and they can be used with Avast Secure Browser (as it is based on Chromium).
To do this, please open the Chrome web store in Avast Secure Browser (
here) and chose an add-on.
Once you have chose, please click the "Add to Chrome" button. This will first prompt a warning from Extension Guard to appear - this is because installing any extension will reduce the security provide by the browser. If you wish to proceed, please check the box next to "I understand the risks", and then click the "Install anyway" button. You will then be able to use the add-on.
I'm afraid that I can't recommend any specific add-on to you, but you can find several by searching "Export History" on the web store.