I thoroughly checked all the bottles for the Live Clean Argan line and I don't see any cones (no -cones, -xanes, or -conol). Though not mentioned on the bottles, I found this about their silicone-free policy:
I'm pretty sure my hair is cone-free. I've stuck to AG Curl Activator and HE Totally Twisted prior to CG, and recently Suave Naturals Coconut and Tresemme Naturals Nourishing conditioner.
Good to note about Cocamidopropyl Betaine and Cocobetaine.