If your team is not using Gmail conversations then you need to ensure that *all* shares have the option I do not use Gmail conversations – do not share all emails in conversation such as replies and forwards enabled.

If this option is disabled then once you share an email by applying a shared label to it, all emails in that conversation (such as replies and forwards) are automatically shared. So if you want cloudHQ to keep sharing all emails in Gmail conversation (such as replies and forwards) automatically, then disable this option.

On the other hand, if you do not want to automatically share all emails in Gmail conversation (such as replies and forwards), then enable this option.

This option can be also controlled via Share tab: