The MAC address is the physical address of your network interface. Think of this as a street address of a house.
The IP address (private or not makes no difference) is a number assigned to that physical interface. Think of it as a person who lives at the street address.
If the house is still there, the street address remains the same. The same goes for the MAC address, it basically stays the same.
The person living there can change. So can the IP address, it is temporary, compared to the street address.
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