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'must have changed' is correct and usable in written English
You can use it when you are making an inference based on the evidence that you have. For example: "The shop looks different than before; it must have changed hands."
Exact(59)
If nothing is changing in the Church, then something must have changed outside of the Church.
Times must have changed.
Money must have changed hands.
Rock really must have changed.
So something else must have changed.
Something in her circumstances must have changed.
The publishers, OUP, must have changed.
So surely something important must have changed?
"They must have changed management," he said sadly.
She must have changed at least half my answers.
Similar(1)
Today I suggest the landscape must have changed there are reams of organizations dedicated to working with sex workers.
More suggestions(16)
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com