In the English Vocabulary Profile:
NOUN
give vent to = C2 to express strong anger or another strong feeling
VERB
vent your anger/frustration, etc. = C2 to do or say something to show your anger or another strong, bad feeling
A search for collocates in iWeb for:
gave vent to (gave is more common)
1 HIS 50
2 FEELINGS 39
Well, to give vent now and then to his feelings is a great comfort.
3 THEIR 38
4 HEAD 17
5 HIDEOUS 15
6 MEASURED 15
7 SOUNDS 15
8 CERTAIN 15
9 ANGER 14
10 GRIEF 7
A search in NOW corpus for:
VENT_V * *
1 VENT THEIR ANGER 1914
2 VENTED THEIR ANGER 1059
3 VENT THEIR FRUSTRATION 1038
4 VENT THEIR FRUSTRATIONS 935
5 VENTED HIS FRUSTRATION 635
6 VENTED THEIR FRUSTRATION 573
7 VENTING THEIR ANGER 558
8 VENTED HIS ANGER 485
9 VENT HIS FRUSTRATION 365
10 VENT HIS ANGER 334
11 VENTED THEIR FRUSTRATIONS 324
12 VENTED HER FRUSTRATION 307
13 VENT OUT THEIR 293
14 VENTING THEIR FRUSTRATION 285
15 VENT . 267
16 VENTED THEIR FURY 265
17 VENT ABOUT THE 259
18 VENT HIS FRUSTRATIONS 250
19 VENTING THEIR FRUSTRATIONS 239
20 VENTED THEIR IRE 223
21 VENTING HIS FRUSTRATION 219
22 VENT THEIR FURY 213
23 VENTED HIS FRUSTRATIONS 204
24 VENTED TO THE 184
25 VENTING HIS ANGER 182
26 VENT THEIR SPLEEN 175
27 VENT HER FRUSTRATION 169
28 VENT THEIR IRE 157
29 VENTED ABOUT THE 146
30 VENT THEIR FEELINGS 143
31 VENTED . 136
32 VENTED HER ANGER 126
33 VENT HER ANGER 114
34 VENTED ON SOCIAL 112
35 VENT . ” 109
36 VENT THEIR RAGE 109
37 VENTS HIS FRUSTRATION 105
38 VENT OUT HIS 100
39 VENTING ABOUT THE 100
40 VENTED INTO THE 95
41 VENTED HIS FURY 94
42 VENT THEIR GRIEVANCES 88
43 VENTED HIS IRE 87
44 VENTED HIS SPLEEN 87
45 VENTING OUT THEIR 87
46 VENTING HIS FRUSTRATIONS 86
47 VENTING ON SOCIAL 85
48 VENTED ON TWITTER 83
49 VENT HER FRUSTRATIONS 81
50 VENT YOUR ANGER 81