If you want to stop seeing someone's posts in your News Feed without unfriending them (insert ex here), you can unfollow them to hide their activity. From someone's profile in the Facebook mobile app, tap on 'Following' under their profile picture and then 'Unfollow' to get rid of their posts completely. On the desktop, click the drop-down arrow to the right of a post to unfollow a person. Unfollow but not unfriend