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оказывать влияние stresses
gen.	influence; exercise influence (The treaty ensured Finland that unlike other countries in Eastern Europe, it would not face a Soviet invasion, but in return, it agreed to stay out of NATO and allowed the giant next door to exercise significant influence over its domestic and foreign policy. nytimes.com); work on; have a bearing; bear sway over (на кого-либо); hold sway over (на кого-либо); stroke; stroke-oar; touch on (на что-либо); touch upon (на что-либо); bring influence to bear; have an impact on (на кого-либо); exert influence on (на кого-либо); exert an impact (MichaelBurov); use influence (on); inform (на); overlay; touch; bias (обыкн. плохое); operate; bring to bear influence; have influence with (на кого-либо); exert control (Ivan Pisarev); exercise control (Ivan Pisarev)
Gruzovik	exert influence on; use influence on
Игорь Миг	make a dent
account.	bias (напр., на результат исследований)
amer.	come into play (на опр.ситуацию; In the ​summer ​months a different set of ​climatic ​factors come into play. Val_Ships)
avia., med.	exert
busin.	affect (на); produce influence (on, на); reach
dipl.	impact (на общественное мнение); have influence on (на кого-либо)
dril.	management implication; affect
el.	effect
energ.ind.	bias (на результаты исследования)
formal	elicit effect (MichaelBurov)
idiom.	carry weight with (someone – на кого-либо VLZ_58); put imprint on (VLZ_58); have the ear of (someone – на кого-либо; your ideas are listened to and considered important by someone Val_Ships)
inf., amer.	stroke (на кого-либо)
int.rel.	have a hold over a person (на кого-либо I. Havkin)
Makarov.	exert an influence; govern; have an effect on; take effect; exert influence (на); have an influence; hold sway over (someone); make impact; operate on; tamper with; work upon; work (on); pay attention (to; на)
math.	have an effect on; the crack velocity exerts an influence on the crack tip opening rate
media.	create effect (bigmaxus)
progr.	has implications (ssn)
relig.	have impact; make a difference (Александр Рыжов)
tech.	impact; act on; act

оказывать влияние: 239 phrases in 37 subjects

Accounting	1
American usage, not spelling	1
Aviation	2
Banking	1
Business	14
Construction	2
Corporate governance	1
Criminal law	2
Diplomacy	2
Economy	5
Electronics	1
Figurative	2
Finances	1
Foreign policy	4
General	111
Geology	1
Idiomatic	2
Informal	1
Insurance	1
Law	6
Literature	1
Makarov	39
Mass media	5
Mathematics	15
Medical	1
Military	2
Oil / petroleum	1
Pharmacy and pharmacology	1
Politics	3
Programming	3
Psychology	1
Psychotherapy	1
Quality control and standards	1
Sakhalin	1
Scientific	1
Scuba diving	1
Seismology	1