Original: Their use when clothing is stored out-of-season gave rise to the colloquial usage of the terms "mothballed" and "put into mothballs" to refer to anything which is put into storage or whose operation is suspended.
Simplified: Their use when clothing is stored out-of-season led to the colloquial usage of the terms mothballed and put into mothballs to refer to anything which is put into storage or whose operation is suspended.