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преувеличивать v stresses
gen.	overstate; stretch; magnify; dramatize; heighten; overcharge; overdo; overdraw; romance; lay it on thick; pile it on; pitch it strong; sound off; speak in superlatives; overcolour; overpaint; overpitch; make a mountain out of a molehill; pull the longbow; stretch the truth; throw the hatchet; overstate case; overdraw (в описании, изображении и т.п.); overwork; lay it on with a trowel; play up (что-либо Nuto4ka); over-estimate (dimock); forcer la note (Kulakian); talk a big game (Дмитрий_Р); aggrandize; over – hype (betelgeuese); play for the back row (fulgidezza); draw a long bow; draw the long bow; draw the longbow; stretch the point (Technical); blow up; over-colour; tell a tall tale (Enrica); amplify; exceed; put it on (свои чувства, боль и т. п.); hyperbolize; go too far; stick it on; exaggerate; reach (driven); overreach (слишком: You're overreaching Taras); overdramatise (Ivan Pisarev); ampliate; enlarge; draw with the long-bow; blow out of proportion (How are you blowing out of proportion the meaning of this imagined event? Kirill2); put it on (чувства, страдания и т. п.); overinterpret (См. пример в статье "придавать слишком большое значение". I. Havkin); shoot with the long-bow; overcast; put the pot; strain; ham up
Gruzovik	overestimate
fig.	lay it on a bit thick (Andrey Truhachev); do sth excessively (Andrey Truhachev); lay something on too thick (Andrey Truhachev)
idiom.	blow out of proportion (Interex); come the acid (To exaggerate. Interex); song and dance (Yeldar Azanbayev); make a meal of (Yeldar Azanbayev); turn geese into swans (Yerkwantai); much ado about (Yeldar Azanbayev); lay it on with a trowel (Andrey Truhachev); over-egg the pudding (Andrey Truhachev)
inf.	lay it on; push it (Well, "good" might be pushing it. VLZ_58); bat the breeze (MichaelBurov)
invect.	shit
Makarov.	overcharge (в описании, изображении и т.п.); draw it strong; act emotionally; blow up (что-либо); lay on with a trowel; pile in; put on; put it on (свои чувства, боль, страдания и т. п.)
math.	overestimate
obs.	overlash
psychol.	overrate
slang	jazz; phony up; pitch; sling it; spread it on thick; woozle; stick on to stick it on; hamed up (Yeldar Azanbayev); blow up (The paper blew the news up. == Газеты раздули эту новость до размеров чего-то действительно важного.)
vulg.	shoot the crap; shovel the shit
преувеличиваться v
gen.	exaggerate; overestimate; overrate; overstate

преувеличивать: 127 phrases in 22 subjects

Advertising	1
American usage, not spelling	1
Bible	1
Chess	1
Cinematography	1
Diplomacy	1
Foreign policy	1
General	54
Idiomatic	4
Informal	2
Ironical	1
Linguistics	1
Literature	1
Makarov	43
Mass media	3
Mathematics	1
Music	2
Obsolete / dated	1
Rhetoric	1
Sex and sexual subcultures	1
Slang	4
Vulgar	1