Many PCs - especially laptops - now have 2 network cards, a wireless card and a plug in type. If you have 2 network cards enabled, but only use 1 ( I usually use my wireless connection) the other may be informing you that it is available but not connected. Alternatively, I get this message if my wireless card looses its connection to my router.
Not nessersarily 2 ... Local Area Connection 2 could mean that the driver has been uninstalled and re-installed ... at which point the number just increases by 1 ... do it again and it will be LAN3...
The question to the OP is: How do you connect your laptop? Is it via a CAT5 cable to a switch/hub/router, wireless or do you connect a USB device to it?
or on the other hand, if ethernet is installed, then this error will appear if the ethernet connection has nothing to connect to. I get this message on all my computers in the house, as they are all connected by wireless, and no ethernet connection, so I just ignore the error message.
Go to Control Panel
Go to Network Connections
Right click on Local Area Connection 2 and select 'Disable'
If something stops working repeat above and select 'Enable'