The statement that OSPF router IDs in the same area must be the same is incorrect because router IDs must be unique within the entire OSPF network, not just within an area. The statement that the router ID must be the IP address of an OSPF router interface is incorrect because the router ID can be any 32-bit number, not necessarily an IP address. The statement that the router ID must be configured manually is incorrect because if it's not manually configured, it can be automatically assigned based on the highest IP address of any active OSPF interface.