Simultaneous detection of the space coordinates of the ends of a moving rod?

bernhard.rothenstein

I find in a leading journal the following title:
How to obtain the Lorentz space contraction formula for a moving rod from knowledge of the positions of its ends a different times.
My question is:
Consider a rod at rest in I', located along the x' axis. Its ends 1 and 2 are characterized by the space coordinates x'(1) and x'(2). The proper length of the rod is
x'(2)-x'(1)
independent of the time when the mentioned coordinates are measured.
Is it possible that observers from I measure the coordinates of ends 1 and 2 at different times, taking into account that their clocks read the same running time as a consequjence of the fact that the clocks they use are standard synchronized? At each end of the rod we find an observer from I characterized by the space coordinates x(1) and x(2) respectively.