Why is my invitation shown as sent past the working hours I've set?

You'll sometimes see in your conversation with a lead that the timestamp of the invitation will be marked past working hours.
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Have no fear: it is not a bug. The timestamp LinkedIn provides is the date when the lead accepted your request, not when it was sent.
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It's very confusing, we agree! But hey, it's LinkedIn, a lot of things are confusing there :)