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содействовать v stresses
gen.	cooperate; promote (policies to promote competition in the industry); sponsor; abet; co-operate; facilitate; farther; subserve; support; make for; put forward (кому-либо); concur; help forward; connive; help on; expedite; back (кому-либо); be ministerial to (чему-либо); be promotive of (чему-либо); make for (чему-либо); bolster (злу); foster (kutsch); nurture (alexsokol); be instrumental (in doing something (in something) ... – в чём-либо ... Alex_Odeychuk); be an instrument (Alex_Odeychuk); be instrumental in something (чему-либо); foment (Pippy-Longstocking); back someone up (кому-либо); advance; befriend; make (чему-либо); stead; abet in (совершению чего-либо дурного; чему-либо); promote (чему-либо В.И.Макаров); further; help; administer; speed; cultivate; contribute; redound; assist (with dat.); bring to bear; be promotive of something (чем-либо); conspire; push; pushing; tend (чему-л.); advance smb.'s interests (кому́-л., чьим-л. интере́сам)
Gruzovik	assist
Игорь Миг	jump-start; bode for; incentivise
account.	favour (напр., экономическому развитию); encourage
amer.	subvene; favor; abet (в достижении опр.цели; Their actions were shown to abet terrorism. Val_Ships)
busin.	favour; help along; contribute to improving (smth)
econ.	serve as enablers (A.Rezvov); be the enabler of (A.Rezvov); favor (напр., экономическому развитию); contribute (напр., экономическому развитию); contribute to (чем-либо A.Rezvov)
el.	boost
idiom.	carry water for (Interex); cry aim (Bobrovska)
Makarov.	back someone up (кому-либо); bear a hand; serve; be instrumental in (чему-либо); work for (чему-либо); connive at; administer to (кому-либо); assist (someone – кому-либо); bolster up (злу); contribute to something (чему-либо); further something (чему-либо); help (someone – кому-либо); legislate for something (чему-либо); redound to (чему-либо); encourage (напр., росту)
math.	assist in; aid in; contribute to
mil.	aid (Киселев)
nautic.	club
obs.	condog
poetic, Makarov.	succeed
polit.	make a contribution to something (чему-либо ssn)
seism.	promote
uncom.	aid and abet
по содействовать v
gen.	contribute (sth., чем-л.)

содействовать: 253 phrases in 31 subjects

American usage, not spelling	1
Architecture	1
Banking	1
Business	11
Diplomacy	22
Economy	21
European Bank for Reconstruction and Development	3
Figurative	1
Foreign policy	1
Forensics	1
General	84
Law	8
Makarov	52
Mass media	6
Mathematics	1
Military	10
Names and surnames	1
Notarial practice	1
Obsolete / dated	4
Occupational health & safety	1
Patents	1
Philosophy	1
Politics	9
Production	1
Programming	3
Psycholinguistics	1
Sakhalin S	1
Scientific	2
Security systems	1
United Nations	1
United States	1