In the first example the helping verb is distributed across the three verbs. So that the division "was doing" several things. It "was opening offices" it "was hiring staff" and it "was investing in equipment." So in this circumstance because the helping verb "was" is in common between all three you can just state it once and it is in common between all three verbs.

In the second example you have the same thing: You have "A president who genuinely cares" about a list of things: "health care, the environment, and the travails..." so you can see that this works in just the same way as above. The reason that we have two "Who"s is that we know have a completely different list. Before we were talking about a president who genuinely cares about a list of things. Now we have a list of things that the person "has": experience, wisdom, and strength of character. Again after the initial "who has" we do no repeat that again.

So your second example involves two separate versions of your first example.

As to your final example, the first "that" corresponds with something the cafe "has" and the second corresponds with something the cafe "provides."

Hope it helps