Learn Farsi: به دلیل این مشکل، شاید هماهنگی طول بکشد. - Because of this problem, perhaps coordination will take time.

This is the core rule of using shâyad (perhaps/might). When you use shâyad to express possibility, the verb that describes what might happen must be in the present subjunctive. That is why we use bekeshad instead of the normal present tense mikeshad.

How exactly does tul bekeshad translate to "take time"?

The infinitive is tul keshidan, which literally means "to draw out length" or "to stretch". In Farsi, this is the standard idiom used to say that an event or action "takes time" or "lasts". Here, tul is the noun for length, and bekeshad is the present subjunctive form of keshidan (to pull or draw).

Is there an unseen connecting sound between dalil and in moshkel?

Yes, you need the ezafe connecting vowel here. The phrase be dalil means "for the reason". To link it to the specific reason you are talking about, which is in moshkel (this problem), you must add the ezafe. When spoken, it is pronounced be dalil-e in moshkel (literally "for the reason of this problem").

Why does the verb end in -ad?

The ending -ad is the third-person singular suffix. The subject of the verb is hamâhangi (coordination). Because "coordination" is treated as an "it" (a single abstract concept), the verb takes this third-person ending.