Cekette bir kırışıklık ve sökük bulduk.

Cekette is ceket + -te.

• ceket = jacket
• -de / -da / -te / -ta = the locative ending, meaning in / on / at

So cekette means in the jacket or on the jacket, depending on context. English chooses the most natural preposition, but Turkish just uses the locative suffix.

This is because of consonant harmony.

The locative suffix is basically -de / -da, but after a voiceless consonant it changes to -te / -ta. The final sound in ceket is t, which is voiceless, so the suffix becomes -te.

So:

• evde = in the house
• okulda = at school
• çantada = in the bag
• ceket + de becomes cekette, not ceketde

Because the word already ends in t, and the suffix also begins with t.

• ceket
• -te

When combined, they are written together as cekette. Turkish spelling keeps both sounds, so you see tt.

In Turkish, one bir can naturally cover both nouns in a phrase like this.

So bir kırışıklık ve sökük means a wrinkle and a tear / loose seam.

If you want to be more explicit, you can also say:

bir kırışıklık ve bir sökük bulduk

That is also correct. Using bir only once is just a more compact, natural way to say it.

Because they are indefinite direct objects.

In Turkish, a direct object often stays bare if it means a / some, not the specific one.

Here:

• bir kırışıklık ve sökük bulduk = we found a wrinkle and a tear

But if you meant specific, known ones, Turkish would usually mark them:

• kırışıklığı ve söküğü bulduk = we found the wrinkle and the tear

So the lack of accusative here is normal and matches the indefinite meaning.

Sökük refers to a place where stitching has come undone, or a tear/open seam in fabric.

Depending on context, English might translate it as:

• tear
• rip
• loose seam
• unstitched spot
• coming undone

It is slightly different from yırtık, which more directly means a tear or rip in the fabric itself. Sökük often suggests that sewing has come apart.

Kırışık is usually an adjective meaning wrinkled / creased.

Kırışıklık is the noun meaning a wrinkle / a crease.

So:

• kırışık ceket = a wrinkled jacket
• cekette bir kırışıklık = a wrinkle in/on the jacket

This is a common pattern in Turkish: an adjective or descriptive base can become a noun with a suffix.

Bulduk comes from the verb bulmak, meaning to find.

It breaks down like this:

• bul- = find
• -du- = past tense
• -k = we

So bulduk means we found.

This is why Turkish does not need a separate word for we here.

It is built into the verb bulduk.

Turkish verbs often include the subject information, so a separate pronoun is not necessary.

• buldum = I found
• buldun = you found
• buldu = he/she/it found
• bulduk = we found

You could add biz for emphasis:

Biz cekette bir kırışıklık ve sökük bulduk.

But normally it is omitted.

Because Turkish is typically SOV: subject – object – verb.

So the most neutral structure is for the verb to come last.

In this sentence, the order is roughly:

• Cekette = in/on the jacket
• bir kırışıklık ve sökük = a wrinkle and a tear
• bulduk = we found

Turkish word order is flexible, but the verb very often stays at the end.

It can mean either, depending on context.

The Turkish locative ending -de/-da/-te/-ta is broader than any single English preposition. English has to choose between in, on, or at, but Turkish just marks location.

With clothing problems like wrinkles, stains, holes, or loose stitching, English may say:

• on the jacket
• in the jacket
• in the fabric of the jacket

Turkish simply says cekette.

Yes. A few natural alternatives are:

• Cekette bir kırışıklık ve bir sökük bulduk.
  More explicit, because bir is repeated.

• Bir kırışıklık ve sökük cekette bulduk.
  Grammatically possible, but less neutral; it changes the focus.

• Cekette bir sökük ve kırışıklık bulduk.
  Also possible; it just changes which noun comes first.

The original sentence is natural and straightforward.

Yes. The ending in bulduk is the regular definite/simple past.

It means the speaker presents the finding as a completed event:

• we found

Depending on context, English might sometimes translate it as we found or we have found, but grammatically Turkish is using the standard past tense here.