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I'm afraid I need a hand to try and finish this crossword, maybe if I can have the answer to these I might get there.
39A Picked up something to go with roll, a square cheese.(9) ????n???t
40D Strange, tailless goat, mostly seen over Eastern China.(5,4)
??e??/?n?e
52A French philosopher's pained conclusion to testimonial.(5)????l

52, Sore l ?

39, Roquefort ?
Roque sounds like "rock" 'n' roll.

40 Queen Anne, china. Quee(r), strange tailless + Nann(y), goat mostly +E, Eastern.

40, Queen Anne
Quee(r) nann(y) E(astern)

Snap, Malone!

Thanks, Rusty - and congratulations on your hat-trick!

Thank you Rusty and Malone.

Glad we could help, Ftsalmon!

51d "Patches of red and green, last three to turn up" (7)

N?E?? Looks like it must be NAEVI for patches, but don't see the parsing.

58a "Kindly leave the car running after parking, finally" (7)

G?R?C?A

Any help much appreciated