Abstract We generalize an efficient automata-based approach to string solving, the stabilization-based method behind the solver Z3-Noodler , to support relational constraints represented by finite-state transducers (useful for modeling constraints, etc.). We focus on efficient handling of length constraints by reducing the need for expensive concatenation elimination, a major bottleneck in automata-based string solving. We also propose heuristics that significantly improve performance in practice. Implemented on top of Z3-Noodler , our method clearly outperforms other solvers on benchmarks with relational constraints: it solves more instances and runs orders of magnitude faster.