I'm always looking for ways to make life easier. (I'm kind of a lazy person.) It's always been a little bit of a hassle to sort through the dirty laundry looking for the delicates that need to be washed in a lingerie bag, especially if I'm in a hurry. Recently, I had a brainstorm that I could just use a binder clip to attach the bag to the hamper and throw the items in there instead of fishing through the laundry for them. When it's time to wash clothes, all I have to do is unclip the bag, zip it up, and throw it in with the rest of the clothes. It's quick and easy.
For me, it's easier to attach the bag to the outside of the hamper, but honestly that's not the most attractive way to do it. (I don't really need my hamper to be attractive though.) If the aesthetics of this are more important to you, you could clip the bag to the inside of the hamper. You could also use a clothespin or a bulldog clip instead of a binder clip.
This system works well for the usual delicate items like bras and panties, but works especially well for baby socks (pictured above) because they're so small that they tend to get lost, both in the hamper and in the wash, which doesn't happen when you wash them in a lingerie bag.
Streamlined laundry and no more orphan socks, it works for me.