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соблюдать правила stresses
gen.	keep the rules (the law, order, commandments, etc., и т.д.); keep to the rules; keep to the regulations; mind rules (regulations, instructions, etc., и т.д.); keep rules (shv-nadezhda); play the game; comply with the rules (All Members are bound to comply with the rules of practice. I. Havkin); play nice (SirReal); observe the rules; abide by the rules; follow the rules; stick by the rules (Ремедиос_П); abide the rules
Игорь Миг	play by the book; play honestly
busin.	comply with regulations, the law
construct.	comply with regulations
econ.	observe regulations; observe rules
el.	discipline
formal	adhere to rules (In total, 82 partygoers were issued tickets for not adhering to COVID-19 distancing rules. ART Vancouver); comply with a policy (соблюдать все правила и процедуры – comply with all policies and procedures ART Vancouver)
idiom.	toe the line (Taras)
law	follow regulations
Makarov.	keep the rules; respect the rules
polit.	maintain rules (ssn)
соблюдать правило
gen.	comply with a rule; observe a regulation; observe a rule
polit.	adhere to a rule (ssn); conform to a rule (ssn); obey a rule (ssn); stick to a rule (ssn)
соблюдая правила
gen.	in keeping with the rules (Andrey Truhachev)
соблюдайте правила
slang	this is a league game (VLZ_58)

соблюдать правила: 79 phrases in 23 subjects

American usage, not spelling	2
Automobiles	1
Business	2
Chess	1
Construction	1
Cultural studies	1
Diplomacy	9
Formal	2
General	27
Law	3
Linguistics	1
Makarov	14
Obsolete / dated	2
Occupational health & safety	1
Oncology	1
Politics	1
Programming	2
Quality control and standards	1
Rail transport	1
Sakhalin	1
Security systems	1
Sports	1
Transport	3