  We study the time evolution of the two-dimensional kinetic Ising model in
finite systems with a non-conserved order parameter, considering
nearest-neighbour interactions on the square lattice with periodic and open
boundary conditions. Universal data collapse in spin product correlation
functions is observed which, when expressed in rescaled units, is valid across
the entire time evolution of the system at all length scales, not just within
the time regime usually considered in the dynamical scaling hypothesis.
Consequently, beyond rapidly decaying finite size effects, the evolution of
correlations in small finite systems parallels arbitrarily larger cases, even
at large fractions of the size of these finite systems.
