We've been operating
We've been operating is the present perfect continuous tense, used to talk about an action that has begun in the past and is still continuing. Follow the link below for more.
more information: present perfect continuous tense
their calves, to mate, and now they're
Notice that there are three spellings - there, their and they're. Follow the link to find out when to use them.
more information: they're their there
read
Here read is the past participle of the irregular verb read. Follow the link to find out more and to listen to examples.
more information: read