Strange "with" within sentence.

'to deal with' is a phrasal verb.

Deal/dealed/dealt with is a very common English phrasing.  https://www.merriam-webster.com/dictionary/deal%20with

"Deal with" is a phrasal verb, and means something different from "deal". *deal with* (v) - to take action on to punish to be concerned with to conduct oneself (towards others), esp with regard to fairness to do business with

>Would it be correct to write them without "with". No. "Deal with" is a phasal verb.

Others have answered the "is it a specific construction" part - so I'll answer that you can use "deal with" alone (no adverb) or with other adverbs. *I hate having to deal with angry customers all day. I deal with them reluctantly.* *He certainly dealt with that crisis efficiently!* *Quit goofing off and go deal with your homework.*

It wouldn’t be correct. “Deal with” is a phrasal verb, and the word “with” is necessary to convey the proper meaning. “Dealt” by itself has a different meaning. “Your complaint will be dealt quickly.” - This doesn’t really make sense in any context, but it basically means “Your complaint will be distributed/given out quickly” “Your complaint will be dealt *with* quickly.” - This means “your complaint will be addressed/handled quickly”. It would work with other adverbs as the adverb is not part of the phrase. Promptly, slowly, carefully, immediately, etc. would all work as well.

"To deal with" means to manage and resolve some urgent issue.

I think a lot of these answers point out most of what I'd say, so I just want to throw out an additional note: When you see these "weird" or "random" prepositions in a sentence, they will most likely belong to a verb immediately preceding them. They are part of the verb, in that they change the meaning of the original verb in some way. "I'm going to deal the cards," means you're going to set the cards in small, face down piles for the start of a card game. "I'm going to deal *with* the cards," means you're going to perform some necessary action on them - maybe they're trashed and need to be thrown out, maybe someone left four decks in one messy heap on the floor and you need to sort them back into proper decks and put them away, etc. There's something that obviously needs to be done with the cards, and you're about to go do it. Try googling the word and preposition together: "to deal with," in this case. Then, skip any AI results and look for something reputable, like Merriam-Webster, Cambridge, Oxford, Purdue OWL, and so on.

There are other places you might see this: do away with - to discard or throw away come down with - to get sick get away with - to do something without being seen or punished put up with - to tolerate something or someone that is unpleasant Leaving off the "with" will change the meaning to something else.