In order to hide the recyle bin and view all site content links from the left nav in sharepoint 2010 follow the below procedure. You need to retain the left nav and all other links.
Find the master page v4.master or your custom master page and find head, above head add the following code:
STYLE
.s4-specialNavLinkList
{
display:none !important;
}
/STYLE
The two links will be hidden
