Blogs and Posts can be deleted. Deleting initially puts the blogs or posts into an archive from where they can be restored or permanently deleted.
Deleting Blogs
Open the Manage Blogs Tool either using the admin cog 
in the Shared Blogs tab or the icon within the Tools area (Communicating and Sharing section).
Click on the blog that you wish to delete\archive to open the blog detail screen.
Click the delete button 
.
Click 'Yes' to the confirmation message. Note: the blogs will not be permanently deleted at this stage, it will be archived.
Permanently Deleting
Open the Manage Blogs Tool either using the admin cog in the Shared Blogs tab or the icon within the Tools area (Communicating and Sharing section).
Click on the Restore\Delete button 
.
Use the drop-down to select either blogs created by others or the user. Tick the box for the blog to be permanently deleted and then 
.
Restoring Blogs
Open the Manage Blogs Tool either using the admin cog in the Shared Blogs tab or the icon within the Tools area (Communicating and Sharing section).
Click on the Restore\Delete button .
Use the drop-down to select either blogs created by others or the user. Tick the box and then 
.