Validating specific folder names exist within Exchange 2010 mailboxes

In Exchange 2010, we are pushing out managed folders by assigning a mailbox policy to members of a group. The policy creates these exact 3 folders in each mailbox:

2Year
5Year
7Year

On very rare occurrence, the managed folder process fails on one or more folders in a mailbox. We're looking for a way to validate whether these folders exist within the mailbox. The folders are always named the same in every mailbox.

I can run the loop below to return these managed folders that exist within every mailbox in the group. Is there a way to specifically test whether these specific folders exist within each mailbox? 

$users = (Get-Group -identity "Group Name").members
foreach($mbx in $users){ 
Get-ManagedFolder -mailbox $mbx | select @{n="DisplayName";e={$mbx.name}},foldername 
}

When I run this I will generally see each mailbox listed 3  unless there was a problem creating one of the folders. I want to find those mailboxes that are missing one or more of these folders.

Smith, John          7Year
Smith, John          5Year
Smith, John          2Year