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Both network covalent solids, and ionic solids ARE non-molecular, and are therefore expected to have elevated melting points with respect to molecular species.

Let's compare the melting points of $NaCl$ to $SiO_2$:

$"Melting point, NaCl"=801$ $""^@C$

$"Melting point, silicon dioxide"=2950$ $""^@C$ (And, of course, quartz is network covalent).

And we could throw in another example:

$"Melting point,"$ $Na_2O=1132$ $""^@C$

And another:

$"Melting point,"$ $CaF_2=1418$ $""^@C$

This series at least demonstrates, that as the charge of the cation increases, the INTRAMOLECULAR ionic force becomes greater in magnitude, and this is manifested by the increased melting point.

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