Hi Jeff, usually I'm always on here and I reply instantly . But I took a little break sorry for the delays.
Its possible the remote will use the same signals on both units as is. Usually if the brand is the same, you can use it for any of their units.
But if it doesn't it would really be easier to either get another exact replacement remote from a site like www.remotes.com or www.mrremote.com. Both of these sites are very good and carry the original remotes for a good price;-)
Or, you could pick up a universal remote from them that will have the operations codes and you would simply use that 1 remote for both units and even other devices. All you do is select device 1,2,3,or 4 by a single button press, then the remote works everything. I do it that way now because I only need the one remote for my TV, DVD, Home theater system and a VCR it controls all my devices and is super easy to use as well.
In any case Jeff, I will stick with you until this is complete.
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Thank you and have a wonderful day!