Hi Trex Your sentence is a "mixed conditional". Perhaps the writer at Longman thought that begging/pleading (on bended knee) was far more probable than actually getting the job back.
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I take she'd give as she'll be willing to give -- in other words the "volitional" meaning of would, not the conditi
If I go on bended knee to the boss, do you think she'd give me my job back? (Longman)
Why "would give"? "going on bended knee" is real. Why isn't it "will give"? why is it imaginary?