`1.` Would you mind sending me a message ?

`-` Would you mind + V-ing : bạn có phiền không nếu làm gì

`2.` A big birdthday cake was bought by Lan yesterday.

`-` Bị động QKD : S + was/were + Vpp + ... + (by+O)

`-` DHNB : yesterday

`-` "by+O" đứng trước trạng từ chỉ thời gian.

`3.` It took her 6 months to prepare for her wedding.

`-` S + spend + time + V-ing `=` It + takes + sb + time + to V-inf

`-` Ai đó mất bao lâu để làm gì.

`4.` The more hours they sit in front of the TV , the more obese she gets.

`-` So sánh càng-càng :

The + so sánh hơn + adj/adv + S + V , the + so sánh hơn + adj/adv + S +V

Answer:

`1.` Would you mind sending me a message?

`-` mind `+` V_ing: phiền lòng làm gì

`2.` A big birthday cake was bought by Lan yesterday.

`-` bị động quá khứ đơn ( DHNB: yesterday ): 

`+` S `+` be ( was / were ) `+` Vpp `+` ... ( `+` by O )

`3.` It took her 6 months to prepare for her wedding.

`-` It takes sb time to V_inf `=` S `+` spend `+` time `+` V_ing

`4.` The more hours they sit in front of the TV, the more obese she gets.

`-` so sánh kép ( với tính từ dài ): The more `+` adj `+` S `+` V, the more `+` adj `+` S `+` V