Since a 64-bit system has a 32-bit subsystem, allowing you to run 32-bit applications, it also has two sets of system files of both bits. In the Windows\System32 folder there is a 64-bit set, in the Windows\SysWOW64 folder - a 32-bit one.
If a 32-bit program accesses the System32 folder, the system will automatically redirect it to SysWOW64 so that it uses its own 32-bit versions of the libraries. If a 32-bit program launches system utilities from Windows\System32 or without specifying a path, then 32-bit versions from SysWOW64 will be launched.
In the case of, for example, a 32-bit file manager, when you try to enter System32, it will be redirected to SysWOW64, and outwardly it will not say anything about it.
To get exactly where you need to, there is a Sysnative virtual directory in the Windows folder and, having accessed there, the 32-bit program will end up in System32. You will be able to see it in Explorer, it exists only for 32-bit applications.