When assessing a proposed project for the two-way replication of a customer database with a remote call center, the IS auditor should ensure that database conflicts are managed during replication. This should include verifying that the replication process is designed to reconcile any discrepancies between the databases, such as conflicting data or duplicate records. Additionally, the IS auditor should review the security and access controls in place to ensure that the replications are performed securely and only authorized users have access to the replicated data.