Aha should have a notification center, maybe similar to Facebook's. This is helpful because as a product owner, I care about every idea that enters the portal, not just ones assigned to me or that I watch. A notification center will make sure I see what has been commented on and stay up to date. The notifications should not clear until I have clicked on them.
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This is a good idea which we are likely to implement, but this would be much further out on the roadmap.
As a workaround for now, it may be helpful to leverage the Slack integration to create a channel which shows all Idea comments for the products of interest.