Howdy
It somewhat depends on what model lever gun you buy.
If you buy one of the traditional toggle link rifles like a Winchester Model 1873 clone, the action is not terribly strong. Yes I know that the Model 1873 is available now chambered for 44 Mag, but I just would not be comfortable putting a whole lot of 44 Mag rounds through a toggle link rifle. This same model has been available in 357 Mag for quite a few years, but most shooters wind up mostly putting 38 Specials through them. Although 45 Colt is not a traditional chambering for any lever gun, the Uberti version of the 1873 is available chambered for 45 Colt. I would stick with SAAMI max loads in a 45 Colt 1873, I would not put any of the really hot stuff available through one. Of course my favorite chambering, 44-40, is available for the 1873, both the Uberti and Winchester versions. 44-40 is a terrific cartridge, but it will give you pretty much of a rainbow trajectory if you are trying to reach out to 200 yards.
The Winchester Model 1866 clones are only available chambered for 45 Colt, 44-40, and 38 Special. Because of the brass frame, they are not available chambered for any magnum cartridges.
Same with the brass framed, 1860 Henry rifles, only available chambered for 45 Colt and 44-40. Be careful if you go with a brass framed rifle either the Henry or the '66, too many hot cartridges and you WILL stretch the frame.
The clones of the Winchester Model 1892 are much stronger than the toggle link rifles. You can goose them right up in power. The replica 1892 rifles made by Rossi are available chambered for 357 Mag/38 Special, 45 Colt, and 44 Magnum. This model can take much more punishment than a toggle link rifle, if I were going to buy one, I would have no qualms about shooting the dickens out of it with full powered 44 Magnum ammo. And I also would not hesitate to fire some of the hot commercial 45 Colt loads through a Rossi 1892.
I would avoid like the plague a Winchester Model 1894 chambered for 45 Colt. That action was designed for much longer cartridges; the 32-40, 38-55, and of course the 30-30. When modified for a shorter cartridge like the 45 Colt, they often do not feed well. I remember seeing lots of jams with Model 94s chambered for 45 Colt at CAS matches. I don't know anybody who still owns one.
I don't know what's going on with Marlin these days. When they moved to the Remington plant in Ilion NY a few years ago, there were a lot of quality problems. I don't know if the problems have been cleared up yet or not. I have heard they have been, but I have not gotten my hands on one of their recent rifles to see for myself yet. The Marlin 1894 Model is almost as strong as the Winchester Model 1892 model. Different configurations are available in 45 Colt, 44 Magnum, and 357 Magnum. I have a little Marlin 357 Mag 1894CS and it is a real sweet shooter with 38 Specials, but it really lets me know if I put some 357 Mags through it.
Another thing to think about, if you want to be reaching out there with a powerful cartridge like 44 Mag, is the configuration of the rifle. Most of my lever guns have 24" barrels. If I was going to be shooting a 44 Mag, I would want that extra weight of the 24" barrel and I would avoid a short rifle or carbine with a 20" barrel.
One last thing. Here is a photo of two original Winchester Model 1892 lever guns. The one on top is a rifle configuration, the one on the bottom is a carbine. Notice the shape of the butt stocks.
Here is a closeup of the two butt stocks. The rifle has what is known as a crescent shaped butt plate. Notice the sharp points at both the top and the bottom. Notice how much gentler the curve is on the carbine. These are two traditional shapes, and Uberti and Rossi use both, 24" rifles usually come with the Crescent, carbines usually come with the gentler curve. The Crescent shaped butt plate requires a bit different shouldering technique than most shooters are used to today. If you place those points against the meaty part of your shoulder and fire a heavy recoiling round, like 44 Mag, the recoil is going to hurt as the points dig into your shoulder. To properly mount a Crescent shaped butt plate, you need to hike it a bit further out on your arm, so the two points encircle the shoulder joint. Then the points will not touch you, in fact they will keep the rifle centered on your shoulder and will not allow it slip up or down. I have fired lever guns with Crescent shaped butt plates for many years, and I have found that I had to adapt my stance, standing at more of an angle to the target, rather than facing straight on. This allows me to sling the rifle across my chest a bit, and raise my elbow up so the rifle comes up to my face, rather than bringing my face down to the rifle.
Most of my lever guns are chambered for 44-40, and recoil is very mild. If I were looking for a 44 Mag rifle, I would not be looking at a Crescent shaped butt plate. Marlin has gentle curves at the rear of the butt, and some of their models have a recoil pad. Rossi seems to put the Crescent shaped butt plate on all of their rifle length lever guns, which is historically correct, but you might not like it if you buy one chambered for 44 Mag.
I talk to a lot of shooters in CAS all the time, and a lot of them wind up putting a butt pad over the Crescent butt plate of their rifles, because they just can't get the hang of mounting a Crescent shaped butt pad properly.