This is most definitely the LCD screen cable. I've had this issue countless times. When you open/close the laptop it causes the LCD cable to flex. The cable may have a short, or it may need to be re-seated (it's come loose internally).
This cable would fix it: http://www.ebay.com/itm/Genuine-Lenovo-Thinkpad-E330-13-3-LCD-VIDEO-CABLE-50-4UH04-001-/151321958385?pt=LH_DefaultDomain_0&hash=item233b7dd7f1
But like I said, you may just need to re-seat the cable at the motherboard. Look around here in the guides for a teardown of your laptop. It's not a difficult fix.