「」。
The boys said, 'Let's go through with it no matter what.'
Literal
Boys [topic-は] 「all-obstacles [object-を] remove [and-て] carry-out [volitional polite-決行しましょう]」 [quotative-と] said.
A direct quotation embedded in a narrative. 決行する ('to carry out resolutely,' 'to go through with something') is a formal compound suggesting a firm decision to proceed despite obstacles. Note the polite ~しましょう inside the quoted speech — the boys are speaking formally among themselves. The quotative と attaches the quote to the reporting verb 言う.