'put back in place' is correct and can be used in written English.
For example, "She carefully put the antique vase back in place on the mantelpiece."
Furniture was put back in place.
"And then he'd have to have it manipulated and have his knuckles put back in place.
"We want the proper governing structure to be put back in place".
"He also dislocated a shoulder, which has been put back in place.
China, which holds more than $1tn in US debt, is equally determined not to be "put back in place".
He has asked for a rapid review to see how it can be put back in place.
"We will have to find an operational way of carrying out checks and controls without putting back in place a border", Barnier said, in a sign of the sensitivity of the issue.
His comments come after the EU's chief Brexit negotiator, Michel Barnier, said in the event of no deal the EU "will have to find an operational way of carrying out checks and controls without putting back in place a border".
Australia has also recently reopened an offshore processing centre on Nauru, as it puts back in place a controversial policy it ended four years ago.
They will be put back in their places.
He needs to listen to Gunpowder and lead and be put back in his place.
