The verb ‘to cave’ means to explore caves underground. This sentence doesn’t make sense.
‘To cave in’ means to give in or give up, which basically mean the same, so this sentence is correct.
The use of ‘gotten’ is American English, British English would say ‘got’.
In sentence 1, the verb ‘cave’ seems more suggestive of ‘give up’ or ‘stop trying to achieve/do something’.
In sentence 2, the use of ‘cave in’ tends to suggest to me that he might have been resisting agreement with someone else (or not allowing someone to do something) and he was unlikely to agree/relent/yield. (If he did cave in, it would be because it was too difficult for him to continue to disagree/not allow).
That’s my personal reaction to your specific sentences. However, ‘cave’ and ‘cave in’ (meaning give up or yield) can generally be used interchangeably.
The verb ‘cave’ can be used with or without the word ‘in’, though I would guess that it is probably somewhat more common with ‘in’.
The verb ‘to cave’ can also be used to mean something similar to ‘explore a cave’. However, I’d say people might tend to use the construction ‘go caving’ more often than just the verb ‘cave’. Or you’ll hear ‘caving’ used as an adjective (“They forgot to bring the caving gear, so we won’t be able to go caving.”)
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Thanks a lot for going into so much detail on my account! I really appreciate your effort.
Now I understand the difference. :)))
And nice to see you on the forum again, after a long hiatus.