That doesn't explain what happens if English teams win the Cl and EL but finish outside the Euro places in the league though.
But like you i thought the max teams we could have in Europe was 7, so assumed if for instance Man U win the CL and Arsenal win the EL but finish 8th and 9th then they go into the CL next season, as do the top 3, then the 2 EL places go to whoever the FA decide. 4th place and FA cup winners i guess if FA cup winners haven't already qualifed, if they have than it goes to EFL winners if they haven't already qualified, if they have than it goes to 5th place.
I can understand thinking 8 teams in Europe if we kept the 3 in CL from the league + the 2 Euro winners + the 3 EL qualifiers. But where they get 9 meaning an extra team in the EL i don't know.