From Cambridge Dictionary:
I'll meet you in the city, that is, I will if the trains are running.
Is the sentence grammatically correct? In my knowledge, only FANBOYS(for,and,but...) can lead independent clauses.
Here is another example, where i.e. is interchangeable with 'that is'
Some poems are mnemonics, i.e. they are designed to help you remember something.
With the same meaning, 'in other words' always be written like this when introduce a clause:
They signify, in other words, that everything is gift.
He was economical with the truth – in other words, he lied.
So, put simply, is 'that is' or 'i.e.' a kind of conjunction or punctuation that can lead independent clauses?