Filter by taxonymy ID with multiple field in contextual filter
On the views edit page:

Under Advanced: Create a relation to the field that holds the refrence to the taxonomy id (&quot;Taxonomy term referenced from field_your_field_name_that_holds_the_reference&quot;)
Under Advanced: Create a contextual filter for the Term ID and select the previous made relation as relationship. As final step click on &quot;more&quot; on the same page beneith, and select allow multiple.

Now you just add multiple taxonomy id's as  1+2+3 (for OR) or 1,2,3 (for AND).
And if you want to select on multiple fields:
Repeat the process to add more fields and then you can do:
/1+2+3/877,454,453/345,345,345
Each slash represents the contextual filter field
1+2+3 is contextual filter one
877,454,453 is contextual filter two
Etc.