hard-top
hard-top {n.}
1. A car that has a metal roof; a car that is not a convertible.
Every spring Mr. Jones sells his hard-top and buys a convertible.
2. or hardtop convertible
A car with windows that can be completely lowered with no partitions left standing, and with a top that may or may not be lowered.
Mr. Brown's new car is a hardtop convertible.
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Source: A Dictionary of American Idioms