HappyFox lets you archive emails by providing an option to the bcc email address(es) to the outgoing emails. 

To achieve this, 

1. Go to Manage >> Channels >> Email Archival(tab) 

2. You can add multiple email addresses to the Bcc list. Kindly note only the main Account Administrator can modify these settings.

3. On save, these email IDs will receive a copy of all the email notification sent for a new ticket, ticket replies, smart rules and forwarded tickets.