We are into the season of moult now but if they have been like this for 2 months and are just over a year old I would doubt it is moult and there should be obvious pin feathers by this time if it was and had been going on for that long.
Can you post a flock photo to show the birds and their run and coop?
Do they have a dust bathing area? Have you seen them preening themselves more than usual during this time? What are your roost bars like and how high off the ground.
Where are the feathers predominantly? In the coop under the roosts, in the nest boxes, in the pen, all of those places fairly evenly spread or no trace of the missing feathers, suggesting they have been eaten?
The key will probably be to spend some time with your birds and watch them closely, looking for specific behaviour linked to the feather loss or discomfort. If most of the feathers have been dropping in the coop, under the roost, then it may be mites. If the roost bars are quite low, are they squabbling at roost time and being plucked from below. Do you have plenty of roost space? Have you checked the coop for red mites and do you know what to look for and where? Red mites are tiny. They live and breed in the cracks and crevices of the coop and crawl along the roost bars and onto the chickens at night to suck their blood. The birds' underside would be the first port of call for them. Check any cracks and crevices at the ends of the roost bars. Lift the roost bars out if you can and check the ends and the sockets they sit in for tiny clusters of red speckles and some even smaller off white speckles which are young mites that have not yet fed on blood. I use a soft dustpan brush to sweep any debris from such places onto the dust pan and then tip it onto a sheet of white paper. You should see small red specks moving very slowly on the white paper and if you crush them with the back of your finger nail and you see a smear of blood on the paper, you have mites. The are very common and thrive in the warm summer weather.
If you can get back to us with more info re the above questions and photos of your set up, we will hopefully help you get to the bottom of it.