When you delete an article in other areas of the admin panal or inline editing, the article is put into a recyle bin rather than really being deleted. The files are not searchable or displayed in lists by users of the site.
You can recover articles in the recycle bin to bring it back using this admin page. You can also perminantly delete specific articles or delete all items in the article recycle bin. Once you delete an article from the recycle bin it is truely deleted from the site.
The grid on the left shows the list of articles in the recycle bin. As you click on the articles in the grid, it is displayed in a read only view on the right. You cannot edit articles here.

Use the delete button to delete the selected article.
Use the empty recycle bin button to delete all articles.