В силу того, что ходатайство подали вовремя, рассмотрение продолжили.

В силу того, что is a formal connector meaning because, since, or due to the fact that.

It is much more typical of:

• legal language
• official documents
• formal written Russian

In everyday speech, a Russian speaker would more often say:

• потому что
• так как

So this sentence sounds administrative or legal, which matches words like ходатайство and рассмотрение.

Here того is part of a fixed formal expression: в силу того, что.

Historically and grammatically, в силу is a phrase that takes the genitive case, so то becomes того. In modern Russian, though, learners usually benefit most from treating в силу того, что as one whole conjunction meaning because / due to the fact that.

So you usually do not want to translate it word by word in normal use. It functions as a single unit.

The sentence is made of two clauses:

• В силу того, что ходатайство подали вовремя
• рассмотрение продолжили

The first clause gives the reason, and the second gives the main action. Russian normally separates subordinate and main clauses with a comma.

Also, in writing, this formal conjunction is conventionally written as в силу того, что with a comma before что.

So the punctuation reflects both:

• the fixed conjunction
• the boundary between the subordinate clause and the main clause

Because подали does not agree with ходатайство.

In this sentence, ходатайство is the object: it is the thing that was submitted. The verb подали is in the 3rd person plural past form because Russian often uses that form with an omitted subject to mean:

• someone submitted it
• they submitted it
• it was submitted in a loose English sense

This is called an indefinite-personal construction. It is very common in Russian, especially when the doer is unknown, unimportant, or obvious from context.

Ходатайство is a formal legal or administrative word. Depending on context, it can mean:

• motion
• petition
• application
• request submitted to an authority or court

It is not a casual everyday request. It usually suggests an official procedural request.

So in a legal setting, подать ходатайство often means to file a motion or to submit a petition/application.

Because вовремя is an adverb meaning on time or in time.

Compare:

• вовремя = on time
• во время = during

Examples:

• Они пришли вовремя. = They arrived on time.
• Во время заседания он молчал. = During the hearing/session, he was silent.

In your sentence, the meaning is clearly on time, so it must be вовремя.

Both word orders are possible.

• продолжили рассмотрение is probably the more neutral order
• рассмотрение продолжили puts extra focus on рассмотрение

Russian word order is more flexible than English word order. Here, putting рассмотрение first can make it sound more official, structured, or topic-oriented, which fits the legal style.

So the fronted noun is not strange; it is just a stylistic choice.

For the same reason there is no subject in ходатайство подали: Russian often omits the agent when it is unknown, obvious, or not important.

So рассмотрение продолжили literally looks like continued the review, but the real sense is:

• they continued the review
• the proceedings were continued
• the consideration was continued

Again, this is an indefinite-personal construction, and it is very common in official or procedural language.

It is in the accusative case because it is the direct object of продолжили.

However, for an inanimate neuter noun like рассмотрение, the nominative and accusative forms are the same. So the form looks unchanged.

That is why:

• рассмотрение can be nominative in one sentence
• and accusative in another
• with no visible difference in form

Here its role is shown by meaning and structure, not by a special ending.

Both verbs describe completed events:

• подали = the filing was completed
• продолжили = the decision/action to continue was carried out

This fits the logic of the sentence: first the motion was filed on time, and as a result the review was continued.

If imperfective forms were used instead, the focus would shift more toward process, repetition, or ongoing action. But here the sentence is about concrete completed procedural steps, so the perfective aspect is natural.