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After watching the video of Cristin Milioti playing the song over and over again, 
I think these are the chords she's playing.
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G                         GMA7                      Em                      Am    D
Hold me close and hold me fast the magic spells you cast, this is la vie en ros - e

D                        D7                           D                     G    D
When you kiss me heaven sighs, and though I close my eyes, I see la vie en ros -e

G                         GMA7                   Em                           C
When you press me to your heart I'm in a world a-part, a world where roses bloom

Am                          G                 Am                   D              D7
And when you speak angels sing from above, everyday words seem to turn into love songs

G                 GMA7                              C  Am     D    G
Give your heart and soul to me and life will always be la vie en rose.