Concept:Temporarily means for a short time only. Its opposite (antonym) is
permanently, meaning for all time, without end.
Solution:The shops are closed only while the road construction lasts, that is, temporarily.
The opposite idea is closing them for good: "our shops have been permanently closed down".
B. "legally" is about the law, not about time.
C. "deliberately" means on purpose, not about how long.
D. "constantly" means all the time or again and again; it describes something repeated, not the length of a closure.
Key point: temporary / permanent is the standard opposite pair for how long something lasts.
Answer:Option A (permanently)