Hii my name is Luna Fallon i am from the technical team if you are facing a problem then you can visit our site. There could be several reasons why the HP Envy 4500 printer is showing as offline. One common reason is a connectivity issue, such as a loose cable or a problem with the wireless network. Another reason could be an outdated or corrupted printer driver. In order to resolve this issue, try restarting the printer and the computer, checking the connectivity, and updating the printer driver. Additionally, ensure that the printer is set as the default printer and that there are no print jobs stuck in the queue.