If monitors, especially older CGA / EGA monitors, are left on for long durations, the electron beams cause the phosphors to glow. If the electron guns continue to do this for thousands of hours refreshing the same images, this can cause the images to be burnt into the CRT surface causing a ghost image to appear. This image will become permanently displayed on your monitor for the duration of its life.
A resolution to this problem are screen savers, which are programs that generate a random set of images, lines or other methods of allowing the image to not remain static while the computer is not being used.