My 4 year olds have been laying 3 out of 4 days lately. They're really good layers, though. They were still laying every day as 3 year olds. Not all my purebreds have always laid this well, even when younger. They also only lay a large egg, not a jumbo, like some breeds.
Chickens usually lay without too many interruptions the first year after they start laying. After that, their laying usually starts following the seasonal rhythms of chickens. They may go broody in the spring and stop laying for several weeks, unless you make an effort to break them. They usually do a big molt in the fall and often stop laying while growing in all their new feathers. If they do a hard molt and drop a lot of feathers all at once, they'll be trying to grow them in all at once. When the days grow shorter going into winter, most chickens stop laying until the days start getting longer in spring, unless you supplement winter lighting.
Chickens are individuals. Some go broody, some don't. Some go broody more than once a year. Some are broodier their first year as adults and then not as much. Some continue to lay while molting. Some lay in the winter as adults, even without supplemental light. Some are so-so layers even as pullets. Some are great layers even as they get a little older. Some lay great for a few years and then have a sharp drop off. Some do a gradual decline in laying.
When they stop laying for a temporary seasonal reason, their comb and wattles will usually turn from red to pink. When they start laying again, the color goes back to red. They can also stop laying for other reasons, like extreme stress or illness. It's pretty common for them to stop laying when they get sold and go to a new owner, with all the changes that involves. A poor diet also has a negative impact on laying, especially as the chicken gets older.
Hens go broody when you don’t want them to… and won’t go broody when you do. 
