First of all, it is true that the and in this sentence does not connect clauses, but it is not true that this sentence contains an "and that does not act as a conjunctive in a compound sentence."
I went to the nearby cafeteria, and ate quite a lot of food
is a compound sentence because it contains two predicates, which are connected by the conjunction "and."
Regarding the comma, some sources, like Purdue Owl, recommend against using it:
Don't put a comma between the two verbs or verb phrases in a compound
predicate.
INCORRECT: We laid out our music and snacks, and began to study.
INCORRECT: I turned the corner, and ran smack into a patrol car.
Correct, according to this recommendation, is:
We laid out our music and snacks and began to study.
I turned the corner and ran smack into a patrol car.
or
We laid out our music and snacks, and we began to study.
I turned the corner, and I ran smack into a patrol car.
Some phrase this a bit differently, saying that no verb should be separated from its subject. This suggestion, of course, is not always easily followed, because some very long and complex sentences benefit from commas that break it up into discrete units. But, in most cases, the comma may easily be omitted, and, I personally would say, should be omitted.
Of course, those who use a comma in compound predicates will say it is perfectly acceptable, and I'm sure they can provide a source to back that up, in which case, it probably comes down to a matter of choice. (But, also of course, it's always a matter of choice anyway. If you love that comma, go for it.)
However, here are several more sources that recommend against using the comma in compound predicates:
- A compound predicate says two or more things about the subject. A common mistake people make is to insert a comma between two elements
of a compound predicate. This comma adds a pause that creates distance
between the subject and the predicate, so you should not include a
comma in this case, just as you would not use a comma to separate a
verb from its subject or object. Here is an example that demonstrates
the correct and incorrect ways to write a sentence with a compound
predicate:
Correct: Ritija scratched the cat’s head and rubbed his belly.
Incorrect: Ritija scratched the cat’s head, and rubbed his belly.
APA Style Blog
...
Grammarly
Business Insider
Copywriter Editor