A quick way to remove conversations, tasks, events, or documents from the Conversations tab in the Home page is to Mute. Hover over the item you want to remove and you will see a speaker icon appear at the end of the line. Click the speaker icon to Mute it. It will disappear from your ALL or FAVORITE view. If you want to find it again, choose the MUTED view at the top of the tab. You can click the speaker icon again to un-mute it.