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поддерживать инициативу stresses
econ.	back the initiative; support the initiative
Makarov.	favour initiative; back initiative; promote initiative; sustain initiative
media.	encourage initiative (bigmaxus)
поддерживать чью-либо инициативу
gen.	return partner's lead; return partner's
Makarov.	return someone's lead

поддерживать инициативу: 4 phrases in 4 subjects

Card games	1
General	1
Makarov	1
Mass media	1