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Just saw the promo on Dubai one. The song is 42 by Coldplay.
The song featured in the HBO promo is "Follow the Sun" by the band Evermore!
There is a site which is called (Midomi) where you can hum the song. Try it maybe it is useful. hey.me too i was searching for this song for so long and finely i found it so it "requiem for a dream" enjoy the song
Gone Away by Lucy Schwartz
One of the songs is easy to love by the jezabels
If your referring to the series finale promo, I believe that it is "My Immortal"
sail
The song used in the trailer (promo/ad) is called "GET UP" by TJ STAFFORD
Make Dreams Come True (Run To The Light)
it is the song of snow patrol_ chasing cars
"Everybody's On The Run" by Noel Gallagher's High Flying Birds
it sounds like deadmau5