diff --git a/chapter07/introduction.xml b/chapter07/introduction.xml
index 2e57af238..2b0030d7b 100644
--- a/chapter07/introduction.xml
+++ b/chapter07/introduction.xml
@@ -11,11 +11,10 @@
   <title>Introduction</title>
 
   <para>This chapter shows how to build the last missing bits of the temporary
-  system: the tools needed by the build machinery of various packages.
-  Now that all circular dependencies
-  have been resolved, we can use a <quote>chroot</quote> environment,
-  completely isolated the host operating system used for the build, except
-  for the running kernel.</para>
+  system: the tools needed by the build machinery of various packages.  Now
+  that all circular dependencies have been resolved, a <quote>chroot</quote>
+  environment, completely isolated from the host operating system (except for
+  the running kernel), can be used for the build.</para>
 
   <para>For proper operation of the isolated environment, some communication
   with the running kernel must be established. This is done through the
diff --git a/prologue/why.xml b/prologue/why.xml
index 24b792e45..2d469d212 100644
--- a/prologue/why.xml
+++ b/prologue/why.xml
@@ -626,7 +626,7 @@
         <para>Zstd</para>
 
         <para>This package contains compression and decompression routines
-        used by some programs. It provide high compression ratios and a very 
+        used by some programs. It provides high compression ratios and a very 
         wide range of compression / speed trade-offs.</para>
       </listitem>