  We study Beltrami-type equations with two given complex characteristics.
Under certain conditions on the complex coefficients, we obtained theorems on
the existence of homeomorphic $ ACL $ -solutions of this equation. In addition,
for some relatively weak conditions, we obtained theorems on the existence of
the corresponding continuous $ ACL $ -solutions that are loga -rith\-mi\-cally
H\"{o}lder in a given domain.
