LCD's do age but for most viewers this would be 8 to 20 years before losing 50% brightness based on 8 hours a day of viewing. See below.
Display Aging
One topic that has turned into a hot marketing issue is display aging. While this is definitely a crucial issue for displays used in commercial applications that run continuously 24 hours per day (often with images that don't change much over time), it's really not a major issue for the current generation of displays in normal consumer use. However, the public's perception of the aging issue has been blown way out of proportion, particularly in the case of plasma displays, where many people are afraid to buy them for this very reason. None-the-less all displays do age so it's important to understand the issues and specifications involved. Displays age primarily based on the total accumulated hours of use. If you run a display an average of 4 hours per day that amounts to about 1,500 hours per year and 8 hours per day amounts to about 3,000 hours per year.
Phosphors are the source of light in CRT, LCD and plasma displays. The primary issue for these displays is phosphor aging. While you may hear talk about phosphor burn, the phosphors used in modern displays generally don't burn (which is actual heat damage to the phosphor that can be seen as a discoloration when the display is turned off). All phosphors lose brightness based on cumulative use, which results from Coulomb Aging (due to an electron beam current) or Solarization (due to ultraviolet radiation). The greater the electron current or ultraviolet radiation the faster the aging progresses. The aging specification is generally in hours of use up to when the brightness (luminance) falls to 50 percent of its original value, which is referred to as the Lifetime.
The backlight in LCDs is made up of a varying number of fluorescent lamps that have a phosphor coating. Most LCD displays have a Brightness Control that varies the brightness of the lamps, which affects the rate of aging and therefore the time to 50 percent luminance. You'll see a wide range of lifetime ratings for LCDs, typically from 25,000 to 60,000 hours. That should be 8 to 20 years of use at 8 hours per day before the brightness falls by 50 percent. However, there is a crucial yet subtle and often obscure or unreported factor in these lifetimes: it's the setting of the backlight intensity for the specified lifetime. Often it's not for the maximum backlight intensity, but rather for some lower value that ages more slowly, in which case the lifetime will be less and the display will age faster than you anticipate.
Be sure to find that out what brightness value the lifetime specification refers to. For LCDs the lamps should all age uniformly and, in principle, they can be replaced when they get too dim. Unless it's a really expensive display you probably won't find that worthwhile.