Difference between Shut Up and But Then

SHUT UP vs BUT THEN: ADJECTIVE

I don't believe it!, no way!
Of a person, to stop talking or (of a person or thing) making noise.
To put (an object) in a secure enclosed place.
To enclose (a person, animal or thing) in a room or other place so that it cannot leave.
To terminate (a business).
To close (a building) so that no one can enter.
Place in a place where something cannot be removed or someone cannot escape
Cause to be quiet or not talk
Refuse to talk or stop talking; fall silent

Then again, on the other hand; used to show that the opposite viewpoint is possible.

Button up, Belt up, Dummy up, Lock away, Hush up, Still, Lock, Hush, Silence, Quieten, Put away, Close up, Lock in, Lock up, Be quiet

Braces, Isaiah, Brace, Dut, Bosnia, Monotype, Cinderella, Yet, Rectifier, Can, After, Well, More, On the other hand, Then again

Confined, Lock away, Hush up, Dummy up, Clam up, Button up, Belt up, Still, Lock, Hush, Silence, Quieten, Close up, Lock in, Lock up

Isaiah, Head, Either, Brace, Better, Arteriosclerosis, Monotype, Bosnia, Cinderella, Yet, Rectifier, Well, Can, After, More

They must either put up or shut up.
His favorite sayings, back up, drop it, shut up.
Russia tells BRD, US, put up or shut up.
You told me to put up or shut up.
She shelf boston put up or shut up reficar.
The three marks of a good preachers are these: He stands up, speaks up, and knows when to shut up!
Saudi Arabia is a totalitarian state where my daughters are locked up, wrapped up and shut up.
Shut up, shut up, and take everything, disembodied code voice, take everything!
Poor women in psychological research: Shut up and shut out.
Shut up, dammit, all of you just shut UP!

But then the story is lacking, but it does try.
But then the land had been but recently taken up.
But then, today was proving to be anything but routine.
It must be open carry but then even then it is frowned upon greatly.
But then the harassment starts all over again, but this time they have my name so then the intimidation starts all over again.
But then let us compare then products A and C now.
But then, even then, Jimmy really had to prove himself.
But then I fall back into sin harder then before.
But then since then, there was a military dictatorship.
Jimmy: But uh, but then the inspiration for something, I kept that, and then what you also see is at shows now.