How about the below, suggested wording replacing these 2 paragraphs:
A list is a sequence of one or more pipelines separated by one of the
operators ;, &, &&, or ||, and optionally terminated by one of ;, &, or
<newline>.
Of these list operators, && and || have equal precedence, followed by ;
and &, which have equal precedence.
Suggest:
A list is a sequence of one or more pipelines separated by one of the
operators ;, &, &&, or ||, and terminated by ;, &, or <newline>.
Precedence of these operators, in decreasing order by line is:
&& and ||
; and &