Before revision:  This part complements the study for the pair (H ^\Phi,L^\Psi) investigated in 8 and the study for the pair (L^{\Phi,H^{\Psi})investigated in } 19 . This paper contains new results and developments on the interplay between topology and order in Orlicz spaces that are of independent interest\emph{  .
After revision:  This part complements the study for the pair (H ^\Phi,L^\Psi) investigated in 8 and the study for the pair (L^{\Phi,H^{\Psi})investigated in } 19 -closedness of convex sets in L^\Phi are equivalent if and only if either \Phi or \Psi satisfies the \Delta_2-condition. Using this, we prove the surprising result that:\emph{ .