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не достигнуть цели stresses
gen.	be lost on upon, someone; be lost upon (someone); my hints were not lost upon him – он понял мои намёки); come short; fall short; lose; come
Makarov.	be lost on (someone); come short of; fall short of; fall of a target; lose on; lose upon
не достичь цели
gen.	miss; miss the mark (напр, the state misses the mark in its attempt to capture windfall oil revenues Olga Okuneva); be balked of one's purpose; be baulked of one's purpose; miss mark; fail in one's object; miss fire; get nowhere; miss the target (Olga Fomicheva); fall behind target (VLZ_58)
dipl.	fall short
idiom.	fall short of a goal (The film falls short of a goal set by Baz Luhrmann, as all this 3D glitz and glamour ultimately oveshadow the heart and soul of Gatsby's story. ART Vancouver); fall by the wayside (напр., о планах A.Rezvov)
Makarov.	be below a target; fall short of targets; come short of a target; fail in object; fall short of a target; miss the mark; succeed in one's object
Makarov., inf., engl.	go adrift
media.	fail to do the trick (англ. цитата приводится из статьи в газете New York Times Alex_Odeychuk)
slang	drop the ball (ouch)
не достичь цели о снаряде
mil.	fall short of (of a missile) fail to reach its target. : ‘An Iraqi surface-to-surface missile that was being fired at our troops fell short of its target.’ Bullfinch)

не достигнуть цели: 15 phrases in 4 subjects

American usage, not spelling	1
General	6
Makarov	7
Sports	1