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\documentclass{book}
\usepackage[enablepatch={chapter,listoffigures}]{tocbasic}
\DeclareNewTOC[%
type=remarkbox,%
types=remarkboxes,%
float,% definiere floating environment
counterwithin=chapter,% counter depends on chapter
floattype=4,%
name=Remark,%
tocentryindent=1.5em,%
tocentrynumwidth=2.3em,%
listname={List of Remarks}%
]{lor}
% add entries to the table of contents
\setuptoc{lof}{totoc}% list of figures
\setuptoc{lor}{totoc}% list of remarks
\usepackage{mwe}
\begin{document}
\tableofcontents
\listoffigures
\listofremarkboxes
\chapter{First Example Chapter}
\blindtext
\begin{figure}
\centering
\rule{1cm}{1cm}
\caption{First Figure}
\end{figure}
\begin{remarkbox}
\caption{First Remark}
\end{remarkbox}
\blindtext
\begin{figure}
\centering
\rule{1cm}{1cm}
\caption{Second Figure}
\end{figure}
\begin{remarkbox}
\caption{Second Remark}
\end{remarkbox}
\blindtext
\chapter{Second Example Chapter}
\blindtext
\begin{figure}
\centering
\rule{1cm}{1cm}
\caption{Third Figure}
\end{figure}
\begin{remarkbox}
\caption{Third Remark}
\end{remarkbox}
\blindtext
\begin{figure}
\centering
\rule{1cm}{1cm}
\caption{Fourth Figure}
\end{figure}
\begin{remarkbox}
\caption{Fourth Remark}
\end{remarkbox}
\blindtext
\end{document}
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