Kind of hard to tell from the one picture exactly how it’s constructed. It is pretty clear it doesn’t have a swinging rear gate. I have a BB1572, which is a basic no frills model that appears similarly constructed. With mine, to make it look like yours the welds holding the rear wall to the sides would have to fail. (See below.) I’m assuming that’s what happened to yours. If not: 1) a couple more pics would be helpful; 2) ignore the rest of this as inapplicable.
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The cutting edges are hardened, but the structure they mount to almost certainly isn’t. With some creativity, should be able to bend it back and re-weld it.
My first thought, looking at mine, would be to remove one of the bolts from each end of the cutting edge, use the hole to place a shackle, and hook a chain in a V sling to a relatively immovable object such as a large tree. Just make sure everything in the rigging is heavy enough to handle the full drawbar pressure of your tractor. Then slowly and carefully pull the back wall and cutting edges back where they belong. I’m thinking with the cutting edges in place it should have enough stiffness you wouldn’t need a spreader bar in the chain sling (a big tree will spread it some anyway, and some moving blankets will protect the tree from chain scarring). But I’d also keep a close eye on it while pulling it to make sure it is staying straight. If it has a good bit of spring to it, stopping part way through with tension left on the rig and tapping it with a good size hammer to relieve the stress in the metal as you pull will likely help.
I suck at welding so if it were mine, I’d find someone else to weld it. But I would grind the old welds off, bend it back where it should be, and do what I could to prep it before taking it to a welder.
Based on the slope on the bottom of the sides toward the front, it looks like you (or someone) have put a LOT of hours on that boxblade. Not that there’s anything wrong with that, but it makes it not entirely surprising the welds could have been failing slowly for quite some time and finally let go even if what you were doing at the time it failed was routine.