Is there any difference in meaning between "should go" and "should get going"?
Yes, there is a difference in meaning between "should go" and "should get going". To "get going" means to start going or get ready to go, especially when there has been a delay or when someone is already late. Ex: We should get going, it's going to take awhile to get out of here. Ex: We got going around 7 but we didn't actually leave until 8.
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