The notion that shock absorbers work perfectly until they leak is incorrect. A simple inspection of their construction shows why: they use pistons and seals through which a fluid passes to provide a force roughly linear to the velocity with which the piston moves. Over time, and primarily with use, the seals and materials wear out. Again, this is their nature; they are moving parts and wear out with use.
All shock absorbers wear and a leak is not necessary to know a damper requires replacement. There is no shock absorber with 60,000 miles on it that provides factory-new damping. The issue, then, is how fast do they wear? If you have a quality unit -- good design, good materials, good construction -- they can last quite a long time and provide adequate -- not optimal -- damping. If you drive over rough roads a lot, or you drive very fast, they will wear out more quickly.
One little known fact (because nobody measures this) is that they generate heat during use. In fact, the power they consume at higher speeds and on rough roads can be quite high, and since they are an energy dissipater, this causes them to heat up. Recently, somebody published a study on the effects of heat and shock absorber wear. I've not read the paper, but I'm aware of its existence.
I've had Pontiac Fieros where the rear struts were badly deteriorated by 60,000 miles. I've got a 2000 Dodge Grand Caravan with 105,000 miles on it where the factory struts are functioning acceptably but on which I've already replaced the rear shocks. Three years ago I bought a 2003 Ford Focus ZX5 with 71,000 miles on it, and I noticed on the highway test drive that the dampers were functioning very well in jounce, but were awful in rebound. Going over expansion joints at 70 MPH gave one the sensation of a roller coaster ride. I replaced all four dampers on that car one week after I bought it, and I plan on doing so between 130,000 and 140,000 miles because the replacements will be partially worn at that time and replacement is inexpensive and a DIY project.
Here's how I detect worn shocks/struts:
(1) If I push on a corner of the vehicle and it oscillates more than one cycle, the damper is shot. If the damper is fresh, I will have difficult even moving the corner sufficiently to perform the test.
(2) When driving the vehicle, if there is *any* wheel hop, the damper is shot. A perfect, factory spec damper should prevent wheel hop on a any pavement except something very severe. (I owned one car whose dampers were so bad that at one particularly degraded intersection it would largely stop turning until the pavement smoothed out.) Trucks and large cargo vans may be an exception to this rule. Because a truck is designed to haul a significant load, the rear spring rate may be too strong for the damping coefficient in the shock when the bed is empty. This is one reason why I dislike most trucks and SUV's. I don't like the rear wheels hopping around and it ruins the front-rear balance of the vehicle. But I digress...
(3) If when driving the car I notice a "boating" motion, then at least one damper is shot.
In my experience, shocks and struts are largely degraded by 75,000 miles and most should be replaced by 100,000 miles. They do a slow fade, so slow in fact that most people are unaware of the change until they are replaced. Then the difference can be very noticeable.
New shocks and struts is my favorite maintenance item on a car. (Notice I said maintenance and not repair. Shocks are supposed to wear out; replacing them is not a repair.) My backside can always tell the difference when driving a car with properly functioning dampers, and I always enjoy their function.
Regarding the Grunt Markis (a friend's nickname for his Grand Marquis), I doubt the shocks are shot at 60k. Were it my car, I'd be thinking about replacing them between 60k and 100k, unless driving told me they needed to be done now. I've actually replaced the rear shocks on a Grunt Markis, after the airbags collapsed. (We replaced the airbags with steel springs.) It was one of the easiest jobs I've ever done and my friend (who doesn't work on cars) was stunned at the speed with which we completed it. The shocks themselves were junk, but that's another topic...