2010 Toyota Prius P0031 and P2237 Error Codes: Causes, Repair Costs, and Battery Connection Impact

Hello, I recently received two diagnostic error codes on my 2010 Toyota Prius: P0031 and P2237. I'm trying to avoid being overcharged by mechanics and want a clear understanding of what these codes mean. Does the replacement of the battery have any connection to these error codes? If so, how might it affect them? Could you please provide approximate part costs and total repair expenses needed to resolve both codes and clear them from the system? I'm looking for accurate, transparent information to make an informed decision without relying on expensive dealership services.