In this article, we use the framework of "Random conformal weldings" (by K. Astala, P. Jones, A. Kupiainen, E. Saksman) to prove the existence of Lehto-welding for the inverse for $γ<0.1818$ and independent copies for $γ_{2}\leqγ_{1}<0.1818$. In particular, we obtain the existence of some conformaly invariant loop $Γ$ that glues two disks with boundary length given by independent copies of GMC on the unit circle. It is still unclear how to show that those loops $Γ$ are in fact SLE-loops in a parallel proof to "Integrability of SLE via conformal welding of random surfaces" (by Morris Ang, Nina Holden, and Xin Sun).