Which of the following tasks cannot be delegated to a non-lawyer during a conveyance?

The task that cannot be delegated to a non-lawyer during a conveyance is signing an acceptance of an undertaking. This is because signing such documents typically requires a legal signature, which signifies an acceptance of legal responsibilities and obligations that only a licensed lawyer should undertake. It involves an understanding of the legal implications and potentially binding agreements which cannot be adequately grasped by someone without legal training.

In contrast, preparing a statement of adjustments, reviewing the contract, and facilitating communication between parties can be done by non-lawyers as these tasks do not require the same level of legal expertise or judgment that is necessary for signing legally binding documents. Non-lawyers can handle clerical tasks, information gathering, and even limited analysis of documents under the supervision of lawyers, making them suitable for those duties. However, certain key actions that imply legal authority must remain within the purview of qualified legal professionals to ensure legal validity and client protection.