You could use a wooden nest box or a metal nesting box.
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I have been breeding rabbits for almost 30 years. For a number of years, I have sometimes put rabbits (particularly older does) together in small "colonies" of 2-4 does and 1 buck in a large cage, and kept them together until the does are close to kindling or the buck becomes a nuisance. I have never had a doe from one of these colony settings deliver babies that looked premature, or have babies on one day and deliver more even a few days later. The only does I have had that delivered babies that looked fully mature and others that looked premature were older does that were not in a colony, but had only been bred on one day (two does that I remember doing this). I had one doe that kindled three babies one day and had three more several days later, but she, too had been only bred on one day.
From my experience I would say that the babies will most likely be born alive, though first-time mothers often mess up one way or another.