diff --git a/lib/rules/constructor-super.js b/lib/rules/constructor-super.js
index 8787fc569a4..dfec18fb65a 100644
--- a/lib/rules/constructor-super.js
+++ b/lib/rules/constructor-super.js
@@ -79,6 +79,17 @@ function isPossibleConstructor(node) {
             return false;
 
         case "LogicalExpression":
+
+            /*
+             * If the && operator short-circuits, the left side was falsy and therefore not a constructor, and if
+             * it doesn't short-circuit, it takes the value from the right side, so the right side must always be a
+             * possible constructor. A future improvement could verify that the left side could be truthy by
+             * excluding falsy literals.
+             */
+            if (node.operator === "&&") {
+                return isPossibleConstructor(node.right);
+            }
+
             return (
                 isPossibleConstructor(node.left) ||
                 isPossibleConstructor(node.right)
diff --git a/lib/rules/utils/ast-utils.js b/lib/rules/utils/ast-utils.js
index fb8beb25211..cff5a1ec693 100644
--- a/lib/rules/utils/ast-utils.js
+++ b/lib/rules/utils/ast-utils.js
@@ -1611,6 +1611,17 @@ module.exports = {
             }
 
             case "LogicalExpression":
+
+                /*
+                 * If the && operator short-circuits, the left side was falsy and therefore not an error, and if it
+                 * doesn't short-circuit, it takes the value from the right side, so the right side must always be
+                 * a plausible error. A future improvement could verify that the left side could be truthy by
+                 * excluding falsy literals.
+                 */
+                if (node.operator === "&&") {
+                    return module.exports.couldBeError(node.right);
+                }
+
                 return module.exports.couldBeError(node.left) || module.exports.couldBeError(node.right);
 
             case "ConditionalExpression":
diff --git a/tests/lib/rules/constructor-super.js b/tests/lib/rules/constructor-super.js
index bfde6a85508..85e4471acc8 100644
--- a/tests/lib/rules/constructor-super.js
+++ b/tests/lib/rules/constructor-super.js
@@ -43,8 +43,10 @@ ruleTester.run("constructor-super", rule, {
         "class A extends (B ||= 5) { constructor() { super(); } }",
         "class A extends (B ??= 5) { constructor() { super(); } }",
         "class A extends (B || C) { constructor() { super(); } }",
-        "class A extends (B && 5) { constructor() { super(); } }",
         "class A extends (5 && B) { constructor() { super(); } }",
+
+        // A future improvement could detect the left side as statically falsy, making this invalid.
+        "class A extends (false && B) { constructor() { super(); } }",
         "class A extends (B || 5) { constructor() { super(); } }",
         "class A extends (B ?? 5) { constructor() { super(); } }",
 
@@ -126,6 +128,10 @@ ruleTester.run("constructor-super", rule, {
             code: "class A extends (B = 5) { constructor() { super(); } }",
             errors: [{ messageId: "badSuper", type: "CallExpression" }]
         },
+        {
+            code: "class A extends (B && 5) { constructor() { super(); } }",
+            errors: [{ messageId: "badSuper", type: "CallExpression" }]
+        },
         {
 
             // `B &&= 5` evaluates either to a falsy value of `B` (which, then, cannot be a constructor), or to '5'
diff --git a/tests/lib/rules/no-throw-literal.js b/tests/lib/rules/no-throw-literal.js
index 745044abe47..3855b58fdfb 100644
--- a/tests/lib/rules/no-throw-literal.js
+++ b/tests/lib/rules/no-throw-literal.js
@@ -152,6 +152,13 @@ ruleTester.run("no-throw-literal", rule, {
                 type: "ThrowStatement"
             }]
         },
+        {
+            code: "throw foo && 'literal'", // evaluates either to a falsy value of `foo` (which, then, cannot be an Error object), or to 'literal'
+            errors: [{
+                messageId: "object",
+                type: "ThrowStatement"
+            }]
+        },
 
         // ConditionalExpression
         {
diff --git a/tests/lib/rules/prefer-promise-reject-errors.js b/tests/lib/rules/prefer-promise-reject-errors.js
index 23e299bc983..b31ec33622b 100644
--- a/tests/lib/rules/prefer-promise-reject-errors.js
+++ b/tests/lib/rules/prefer-promise-reject-errors.js
@@ -117,6 +117,7 @@ ruleTester.run("prefer-promise-reject-errors", rule, {
         "Promise.reject(foo &= new Error())",
 
         // evaluates either to a falsy value of `foo` (which, then, cannot be an Error object), or to `5`
+        "Promise.reject(foo && 5)",
         "Promise.reject(foo &&= 5)"
 
     ].map(invalidCase => {
diff --git a/tests/lib/rules/utils/ast-utils.js b/tests/lib/rules/utils/ast-utils.js
index 8d60a11d70c..fb38dc9ccfb 100644
--- a/tests/lib/rules/utils/ast-utils.js
+++ b/tests/lib/rules/utils/ast-utils.js
@@ -1099,7 +1099,10 @@ describe("ast-utils", () => {
             "(1, 2, foo)": true,
             "1 && 2": false,
             "1 && foo": true,
-            "foo && 2": true,
+            "foo && 2": false,
+
+            // A future improvement could detect the left side as statically falsy, making this false.
+            "false && foo": true,
             "foo &&= 2": false,
             "foo.bar ??= 2": true,
             "foo[bar] ||= 2": true,