The idiomatic expression 'drive home' means 'reinforce' as in 'The company offered unlimited technical support as a way to drive home the message that customer satisfaction was its highest priority.'
This means that something is disappearing very quickly. For example, if you said people were dropping like flies, it would mean that they were dying off, quitting or giving up something rapidly.
If someone drops the ball, they are not doing their job or taking their responsibilities seriously enough and let something go wrong.
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