Mineshafts and Monsters 1.10.9
Tom's Storage 1.12.9

If a chest is placed next to a chest that is connected to the storage system, the terminal will display the items in that chest as if they were part of the system, but the user cannot pull those items out.

In this screenshot, the leftmost bottom chest is connected to the system, but the chests to the right are not, neither are the chests above the furnaces, or the furnaces themselves. The system still displays all the ores and coal as if they were in the system, but they cannot be taken out.

The inventory connector connects all touching inventories. The coal and ores can't be taken out because you can't take them out from the bottom of the furnace (the closest side to the inventory connector).