Also (according to report) Times not open about women in couples (3,2,3)

I haven't cracked this one yet — but the brilliant team at Fifteensquared have:

I’m missing somethig here: we have TWO – sounds like (according to report) ‘too’, (also) twice, round W (women) twice, round BY (Times) – but I can’t see how it fits together (not open?) Please see comments 1,2,3,4,6 and probably more by now – thanks all; can’t believe I missed ‘to’ = ‘not open’: I’ve seen it enough times!