Point 213 in MODALITY is defined as: ‘may’ in a subordinate clause expressing concession with ‘however’, ‘whatever’, ‘whoever’ + ‘it or this may be or seem Our examples: All you’ve got to go on is streams of electrical impulses, which are only indirectly related to things in the world, whatever they may be. Compromises can be struck, however difficult it yet may be. A search in iWeb for: however _JJ it|this may_V be|seem 1 …
The fixed expression ‘I must admit’ is used to express something that you feel guilty or embarrassed about, or to show that someone else impresses you more than you expected. For example:
I must admit, I’m not very good at this sort of thing.
I must admit, you’re quite a singer.
The fixed expression ‘you must admit’ is used to express concession, which means acknowledging a point made by someone else, even if you disagree with them. For example:
You must admit, he has a point.
You must admit, it was a close game.