I wrap mine in a tea towel, then that package goes into a plastic bag or metal bread box and mine keep a week after cutting them, they often have a similar crumb to these. Sourdough keeps longer than other breads.

Wait, this stays around that long for you? My self-control isn't that strong, haha.

In my experience, these loaves are good for 5-7 days once you cut into them, and would probably go a good bit longer if you left the crust intact