After the install, confirm that v3.51.01 is active:
Official LG download pages for this model no longer exist. You need to find a trusted archive: lcd tv lg firmware 32lg3000 v35101 updated install
After a major firmware update, it is often good practice to perform a Factory Reset to clear old cache files that might conflict with the new software. After the install, confirm that v3
If you cannot find a safe v3.51.01 file, consider leaving your TV on its current firmware. LG never released a critical security or performance patch for this model after ~2010. After the install