Meaning of a sentence which uses "would rather"

Question

I would like to know the meaning of the sentence which is underlined here in the image. The image reads as follows:

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Would rather means 'prefer' or 'would prefer'.

• I'd rather walk than wait for a bus.

• Karen would rather we kept together. (I'm asking about this one.)

• Would you rather eat now or later?

It is followed by an infinitive without to (walk) or by a clause (we kept together).

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I suspect that this sentence (Karen would rather we kept together.) is rather wrong and doesn't say anything – could be a printing error.

This text in the image can be found in the book "learners pocket grammar by John Eastwood, Oxford University press."

Answer 1

Out of context, the meaning of the indicated sentence is admittedly vague because it is not clear whether Karen is included in "we." But one possible meaning (and I would guess the intended meaning) is

Karen would prefer that she and I remain a couple rather than splitting up.