Correct

老着脸皮

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Strokes
https://i.cchatty2.com/filters:format(webp)/fit-in/684x0/img/202102/老着脸皮-Chinese-idioms-Cchatty-e5eaf885-1773-4c4a-8719-4b4f6196e1a2-1612777986.jpg

Collocation

1
只得老着脸皮……
2
经常老着脸皮……
3
总是老着脸皮……
4
不能老着脸皮……
5
又老着脸皮……

Definition

老着脸皮

Literally means:

skin on old face

Actually means:

shamelessly; unabashedly

脸皮 metaphorically means one's sense of shame and embarrassment.

The whole phrase means doing something despite losing one's face or embarrassment. Derogatory.

脸皮,指羞耻的难为情的心理。

老着脸皮,指不顾丢面子或不顾羞耻。具有贬义色彩。

Example

Used as adverbial adjunct. 多 (作状语)
1
shízài
实在
shì
méiyǒu
没有
bàn
办法
le
  
,
suǒ
所以
yòu
lǎo
zhāo
liǎn
脸皮
xiàng
lǎo
老爸
yào
qián
  

He really can't do it, so he always asks his father for money with his face.

2
yòng
不用
  
,
zǒng
néng
lǎo
zhāo
liǎn
脸皮
qiú
  
?

He doesn't use me, I can't always beg him with my face, can I?

3
zài
gēn
jiā
大家
chǎojià
吵架
zhīhòu
之后
jìngrán
竟然
hǎosi
好意思
lǎo
zhāo
liǎn
脸皮
liúxiàlái
留下来
  
,
zhēn
不可
xiǎngxiàng
想象
  

It's inconceivable that he should have been so funny and old-faced after a quarrel with everyone.