There is no entry in the English Grammar Profile for the continuous infinitive passive. Therefore, we say this is a C2 grammar structure.
A search in NOW corpus for:
* to be being *
1 BELIEVED TO BE BEING HELD 18
The following example has past passive + infinitive + continuous passive:
The driver of the lorry was believed to be being held by police.
2 APPEARS TO BE BEING DRIVEN 14
The trend appears to be being driven primarily by older white women, according to the report.
3 APPEARS TO BE BEING PERPETRATED 14
4 APPEARS TO BE BEING MADE 12
5 SEEMS TO BE BEING DONE 12
There is so much great work being done in each community but it seems to be being done in Silos.
6 SEEMS TO BE BEING USED 12
7 SEEMS TO BE BEING MADE 10
8 APPEARS TO BE BEING DONE 9
9 SAID TO BE BEING HELD 9
10 SEEM TO BE BEING MADE 9
11 SEEMS TO BE BEING TAKEN 9
12 APPEARS TO BE BEING USED 8
13 SAID TO BE BEING CONSIDERED 8
14 WAS TO BE BEING THAT 8
15 APPEARS TO BE BEING HELD 6
16 CAME TO BE BEING . 6
17 SEEM TO BE BEING USED 6
18 APPEAR TO BE BEING USED 5
19 APPEARS TO BE BEING FORGOTTEN 5
20 SEEM TO BE BEING HEARD 5
21 SEEMS TO BE BEING HELD 5
22 SEEN TO BE BEING RESPONSIBLE 5 (adjective)
23 ADMITS TO BE BEING A 4
24 APPEAR TO BE BEING HELD 4
25 APPEAR TO BE BEING REFLECTED 4
26 APPEAR TO BE BEING TAKEN 4
27 APPEARED TO BE BEING MADE 4
28 APPEARED TO BE BEING USED 4
29 APPEARS TO BE BEING IGNORED 4
30 GOING TO BE BEING ABLE 4
31 SAID TO BE BEING ” 4
32 SAID TO BE BEING LINED 4
33 SEEM TO BE BEING TAKEN 4
34 SEEMED TO BE BEING MADE 4
35 SEEMS TO BE BEING A 4
36 SEEMS TO BE BEING IGNORED 4
37 SEEMS TO BE BEING PUNISHED 4
38 SEEMS TO BE BEING SET 4
39 UNDERSTOOD TO BE BEING PREPARED 4
40 UNDERSTOOD TO BE BEING SUPPORTED 4
41 USED TO BE BEING A 4
42 APPEAR TO BE BEING MADE 3
43 APPEAR TO BE BEING HANDED 3
44 APPEAR TO BE BEING DRIVEN 3
45 ADMIT TO BE BEING WRONG 3
46 APPEAR TO BE BEING REWARDED 3
47 APPEARS TO BE BEING CHASED 3
48 APPEARS TO BE BEING CONTROLLED 3
49 APPEARS TO BE BEING GIVEN 3
50 APPEARS TO BE BEING KEPT 3
Listen to this example:
I took the food supply of every single country and I compared it to what was actually likely to be being consumed in each country.