Maintaining consistency between business process models and their textual descriptions is critical for operational clarity, compliance, and communication. However, as process models evolve, updating documentation remains costly and error-prone. Existing methods often require manual rewriting or full text regeneration, discarding valuable domain-specific language. This paper presents an edit-based synchronization approach that incrementally updates textual descriptions to reflect changes in Business Process Model and Notation(BPMN) diagrams while preserving unaffected content. We propose two complementary algorithms: the Longest Common Execution Subsequence (LCES) approach for balanced acyclic models, and a heuristic beam search for more complex structures with loops and unbalanced gateways. The resulting transformation steps are translated into structured prompts guiding a large language model to produce minimal, style-consistent revisions. A prototype system demonstrates high semantic accuracy and stylistic coherence across diverse process evolution scenarios.