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A company operates 10 web server Amazon EC2 instances in an Auto Scaling group within a production VPC and 10 additional web servers in an on-premises data center. They have a 10 Gbps AWS Direct Connect connection linking the on-premises data center to the production VPC. The company requires a load balancing solution to handle HTTPS traffic from thousands of external users, distributing it across both AWS and on-premises web servers. The solution must ensure that HTTPS requests are consistently routed to the same web server for the duration of each session, regardless of the server's location.
Which solution meets these requirements?