Will these reusable shopping / tote bags survive a trip through the washing machine?

I have accumulated a bunch of those reusable tote bags that are largely replacing the thin plastic bags usd at drug stores and groceries. They’re very light and come in many colors. I’m not sure what they’re made of – recycled plastic or something like that.

My question: will they survive a trip through a washing machine?

I assume they would melt in the dryer.